Dilution Ratio Calculator
Dilution ratio calculator for 1:10 and 1+10 mixes, C1V1 = C2V2, dilution factor, serial dilution and reconstitution, with concentrate and water amounts.
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How the Dilution Ratio Calculator Formula Works
A dilution makes a solution weaker by adding diluent to a stock or concentrate. The dilution factor says how many times weaker: the final volume divided by the volume of stock used, or the stock concentration divided by the final concentration. A factor of 20 gives one twentieth the strength.
Ratios are written two ways. In lab notation 1:10 means 1 part in 10 parts total, so the factor is 10 and 1 part of stock is mixed with 9 parts of diluent. On many cleaning and photographic chemical labels, 1+10 means 1 part concentrate plus 10 parts water, so the factor is 11. The calculator lets you choose which one you mean and shows the amounts for a final volume.
For concentrations use C1 x V1 = C2 x V2: the amount of solute does not change when you add diluent. Three known values give the fourth. The calculator also builds serial dilutions, where each step uses the same factor, and works out the solvent volume for a powder to reach a target concentration.
dilution factor = V final / V stock = C stock / C final; C1 × V1 = C2 × V2; 1:N means N total parts (factor N); 1+N means N + 1 total parts (factor N + 1)- DFnoneDilution factor, stock strength divided by final strength.
- C1, V1any concentration, mLStock concentration and the volume of stock used.
- C2, V2same as C1, mLFinal concentration and final volume.
- NpartsThe ratio number: total parts in 1:N, or diluent parts in 1+N.
- f, nfactor, stepsStep factor and number of steps in a serial dilution.
- DF
- none
- Dilution factor, stock strength divided by final strength.
- C1, V1
- any concentration, mL
- Stock concentration and the volume of stock used.
- C2, V2
- same as C1, mL
- Final concentration and final volume.
- N
- parts
- The ratio number: total parts in 1:N, or diluent parts in 1+N.
- f, n
- factor, steps
- Step factor and number of steps in a serial dilution.
Using the Dilution Ratio Calculator
Enter what do you want to do?
Choose from Amounts of concentrate and diluent for a ratio, Ratio from concentrate and diluent amounts, C1 V1 = C2 V2, Serial dilution, Reconstitution volume.
Enter ratio is written as
Choose from 1:N (N total parts, factor N), 1+N (1 part plus N parts, factor N+1).
Enter ratio number n
Type the figure you already have, then press Calculate.
Enter final volume wanted
Type the figure you already have, then press Calculate.
Enter volume unit
Choose from millilitres (mL), litres (L), US gallons, US fluid ounces.
Enter concentrate amount (any volume unit)
Type the figure you already have, then press Calculate.
Enter diluent amount (same unit)
Type the figure you already have, then press Calculate.
Enter solve for
Choose from Stock volume (V1), Stock concentration (C1), Final concentration (C2), Final volume (V2).
Enter stock concentration c1 (ignored when solving for it)
Type the figure you already have, then press Calculate.
Enter stock volume v1 (ignored when solving for it)
Type the figure you already have, then press Calculate.
Enter final concentration c2 (same unit as c1)
Type the figure you already have, then press Calculate.
Enter final volume v2 (same unit as v1)
Type the figure you already have, then press Calculate.
Enter dilution factor per step
Type the figure you already have, then press Calculate.
Enter number of steps
Any value between 1 and 30.
Enter starting concentration
Type the figure you already have, then press Calculate.
Enter volume in each tube (ml)
Type the figure you already have, then press Calculate.
Enter mass of powder
Type the figure you already have, then press Calculate.
Enter mass unit
Choose from micrograms (ug), milligrams (mg), grams (g).
Enter target concentration (mg per ml)
Type the figure you already have, then press Calculate.
Enter molar mass (g per mol, optional, 0 to skip)
Type the figure you already have, then press Calculate. This one is optional.
Read the result
Press Calculate to update the result. Until you do, the last result is dimmed and marked as out of date, so you always know which numbers belong to the values in the boxes.
A Real Worked Example
A cleaning concentrate is mixed at 1:10 in lab notation, to make 1,000 mL. With the 1:N option, the dilution factor is 10. Concentrate = 1,000 / 10 = 100 mL, and diluent = 900 mL.
In US fluid ounces that is 3.38 fl oz of concentrate and 30.43 fl oz of water. The concentrate is 10 percent of the final volume.
1+10 in one US gallon
Choose the 1+N option, N = 10, 1 US gallon. The factor is 11, so concentrate = 3,785.4 / 11 = 344.13 mL, which is 11.64 fl oz.
Water is 3,441.3 mL, 116.36 fl oz. The concentrate is 9.09 percent of the final mix, a little less than the 1:10 mix of the first example.
Ratio from 25 mL of concentrate and 475 mL of water
Enter 25 and 475 in the ratio mode. The total is 500, so the dilution factor is 500 / 25 = 20, written 1:20 in lab notation or 1+19 in the parts plus form.
The concentrate is 5 percent of the final volume, so the finished solution is one twentieth as strong as the stock.
C1 V1 = C2 V2: 100 down to 5 in 500 mL
Solve for V1 with C1 = 100, C2 = 5 and V2 = 500. V1 = C2 x V2 / C1 = 5 × 500 / 100 = 25 mL.
Add 475 mL of diluent to reach 500 mL. The dilution factor is 100 / 5 = 20, so the result matches a 1:20 dilution.
Serial dilution: six 10-fold steps from 1,000
Choose serial, factor 10, six steps, a start of 1,000 and 10 mL per tube. The overall dilution factor is 106 = 1,000,000, so the last tube holds 0.001 units.
Each step transfers 10 / 10 = 1 mL into 9 mL of diluent. The percent of concentrate in the last tube is 0.0001 percent.
Reconstitute 50 mg to 10 mg/mL
Choose reconstitution with 50 mg of powder, a target of 10 mg per mL and a molar mass of 400 g per mole. The solvent volume is 50 / 10 = 5 mL, which is 5,000 uL.
The molarity is 10 g per L / 400 g per mol = 0.025 M, or 25.0 mM. Follow the supplier's instructions for the solvent.
What Else to Know
What a Dilution Ratio and Dilution Factor Mean
To dilute a solution is to add solvent so that the same amount of dissolved substance spreads through a larger volume. The dilution factor says how many times weaker the result is. It is the final volume divided by the volume of stock used, which also equals the stock concentration divided by the final concentration.

A 1:10 dilution factor means one part of stock in ten parts total, so the solution is one tenth as strong. A 1:20 dilution factor is one part in twenty, five percent of the original strength. A factor written 1/200 is the same as 200: one two-hundredth of the strength, or 0.5 percent. The dilution factor table lists common factors and what each leaves.

To calculate the factor, divide. If 25 mL of concentrate is made up to 500 mL, the factor is 500 / 25 = 20. If you know the amounts rather than the total, add them first. The calculator does both.

1:10 Versus 1+10: Reading Ratio Notation
The same digits mean different things in different fields. In laboratory work, 1:10 usually means one part sample in ten parts total, a factor of 10, with 9 parts of diluent. On many cleaning products, photographic chemicals and some other labels, 1+10 means one part concentrate plus ten parts water, a factor of 11.
The two differ by about 9 percent for the same N, which is enough to change how a product performs or how an assay reads. For a litre, 1:10 uses 100 mL of concentrate, while 1+10 uses 90.9 mL. The notation table puts the two side by side from N = 2 to 100.

The calculator asks which one you mean. Choose 1:N for total parts and 1+N for concentrate plus diluent. If a label only says a ratio, look for a worked example on it, and when in doubt follow the label.
Concentrate and Diluent for a Final Volume
Enter the ratio, the notation and the final volume you want, and the calculator splits it into concentrate and diluent. The concentrate is the final volume divided by the dilution factor, and the diluent is what remains. Volumes can be in millilitres, litres, US gallons or US fluid ounces, and the results also show millilitres and fluid ounces.
For a US gallon, which is 3,785.411784 mL or 128 US fluid ounces, a 1+10 mix needs 11.64 fl oz of concentrate and 116.36 fl oz of water. The gallon table lists common 1+N mixes. A US fluid ounce is exactly 29.5735295625 mL.

The examples are for cleaning products, laboratory solutions and photographic chemicals. For pesticides and other regulated products, follow the label, which sets the rate, the protective gear and where it may be used.
C1V1 = C2V2 and Dilution Calculations for mg/mL, Molarity and ppm
The dilution equation is C1 x V1 = C2 x V2: the amount of dissolved substance is the same before and after adding diluent. C1 and V1 are the stock concentration and volume, C2 and V2 the final ones. Any three give the fourth.
It works for any matching concentration unit. For mg/mL, 100 mg/mL diluted to 5 mg/mL in 500 mL needs V1 = 5 × 500 / 100 = 25 mL. For molarity, 0.1 M from 1 M in 100 mL needs 10 mL of stock. For ppm, 200 ppm from 10,000 ppm in 1 litre needs 20 mL.

The calculator solves for whichever value is unknown and reports the diluent to add, V2 minus V1, together with the dilution factor and the ratio. It stops with a message if the numbers would call for a stronger stock than you have.
Serial Dilution, Antibody and Cell Dilutions
A serial dilution repeats the same dilution in steps, so the concentration falls geometrically. A ten-fold series from 1 M goes 0.1, 0.01, 0.001 and so on. The overall factor after n steps of factor f is f to the power n.
In each tube, transfer V / f from the previous tube and add V minus V / f of diluent. For 10 mL tubes at ten-fold, that is 1 mL and 9 mL. The two series tables show ten-fold and two-fold series with the concentration in each tube.

Antibody protocols often give a dilution such as 1:1000, which in 10 mL means 10 microlitres of antibody and the rest buffer. For cells, multiply a count taken after dilution by the factor to get the original concentration. Always follow the supplier's datasheet or your protocol.
Reconstitution Volume and Weight by Volume to Molarity
To reconstitute a powder, divide its mass by the concentration you want. For 50 mg at 10 mg/mL, the solvent volume is 5 mL. The reconstitution table lists common masses and concentrations. Always use the solvent, and follow the storage rules, given by the supplier.

To turn weight by volume into molarity, divide grams per litre by the molar mass in grams per mole. A concentration in mg/mL equals g/L. So 10 mg/mL of a compound with a molar mass of 400 is 0.025 M, or 25 mM. Enter the molar mass in the reconstitution mode to see this. The molarity table gives four common compounds, using conventional atomic weights.
This is arithmetic for laboratory solutions. It is not for medicines or dosing, which must follow a prescriber, a pharmacist and the product instructions.
Limits, Safety and Related Calculators
The results are estimates for education and planning. They assume the volumes add up exactly, which is only approximately true, and that the stock is the strength you think it is. Always follow the product label and the safety data sheet. Never mix different chemicals unless the label says it is safe, and for pesticides follow the label.

To work out percentages, use the percentage calculator. If you are adding salt to a pool, the pool salt calculator estimates the amount. For converting temperatures in a lab protocol, the temperature converter can help.
Reference Tables
| N | 1:N factor | 1:N concentrate per litre (mL) | 1+N factor | 1+N concentrate per litre (mL) |
|---|---|---|---|---|
| 2 | 2 | 500.0 | 3 | 333.3 |
| 3 | 3 | 333.3 | 4 | 250.0 |
| 4 | 4 | 250.0 | 5 | 200.0 |
| 5 | 5 | 200.0 | 6 | 166.7 |
| 10 | 10 | 100.0 | 11 | 90.9 |
| 20 | 20 | 50.0 | 21 | 47.6 |
| 50 | 50 | 20.0 | 51 | 19.6 |
| 100 | 100 | 10.0 | 101 | 9.9 |
| Ratio | Dilution factor | Concentrate (fl oz) | Water (fl oz) | Concentrate (mL) |
|---|---|---|---|---|
| 1+4 | 5 | 25.60 | 102.40 | 757.1 |
| 1+5 | 6 | 21.33 | 106.67 | 630.9 |
| 1+10 | 11 | 11.64 | 116.36 | 344.1 |
| 1+20 | 21 | 6.10 | 121.90 | 180.3 |
| 1+32 | 33 | 3.88 | 124.12 | 114.7 |
| 1+64 | 65 | 1.97 | 126.03 | 58.2 |
| Dilution factor | Fraction | Concentrate (percent of final) | Parts diluent per 1 part concentrate |
|---|---|---|---|
| 2 | 1/2 | 50 | 1 |
| 5 | 1/5 | 20 | 4 |
| 10 | 1/10 | 10 | 9 |
| 20 | 1/20 | 5 | 19 |
| 50 | 1/50 | 2 | 49 |
| 100 | 1/100 | 1 | 99 |
| 200 | 1/200 | 0.5 | 199 |
| 1000 | 1/1000 | 0.1 | 999 |
| Target (mg/mL) | Stock needed (mL) | Diluent (mL) | Dilution factor |
|---|---|---|---|
| 1 | 0.10 | 9.90 | 100 |
| 2 | 0.20 | 9.80 | 50 |
| 5 | 0.50 | 9.50 | 20 |
| 10 | 1.00 | 9.00 | 10 |
| 20 | 2.00 | 8.00 | 5 |
| 50 | 5.00 | 5.00 | 2 |
| Tube | Step dilution | Cumulative factor | Concentration (units per mL) |
|---|---|---|---|
| 0 | 1 in 10 | none | 1,000,000 |
| 1 | 1 in 10 | 101 | 100,000 |
| 2 | 1 in 10 | 102 | 10,000 |
| 3 | 1 in 10 | 103 | 1,000 |
| 4 | 1 in 10 | 104 | 100 |
| 5 | 1 in 10 | 105 | 10 |
| 6 | 1 in 10 | 106 | 1 |
| 7 | 1 in 10 | 107 | 0.1 |
| Tube | Cumulative factor | Concentration (units per mL) |
|---|---|---|
| 0 | 1 | 64 |
| 1 | 2 | 32 |
| 2 | 4 | 16 |
| 3 | 8 | 8 |
| 4 | 16 | 4 |
| 5 | 32 | 2 |
| 6 | 64 | 1 |
| 7 | 128 | 0.5 |
| 8 | 256 | 0.25 |
| Powder (mg) | 1 mg/mL | 2 mg/mL | 5 mg/mL | 10 mg/mL | 20 mg/mL |
|---|---|---|---|---|---|
| 5 | 5 | 2.5 | 1 | 0.5 | 0.25 |
| 10 | 10 | 5 | 2 | 1 | 0.5 |
| 25 | 25 | 12.5 | 5 | 2.5 | 1.25 |
| 50 | 50 | 25 | 10 | 5 | 2.5 |
| 100 | 100 | 50 | 20 | 10 | 5 |
| 500 | 500 | 250 | 100 | 50 | 25 |
| Compound | Molar mass (g/mol) | 1 g/L in mM | 10 mg/mL in mM |
|---|---|---|---|
| Sodium chloride, NaCl | 58.44 | 17.112 | 171.12 |
| Glucose, C6H12O6 | 180.16 | 5.551 | 55.51 |
| Sucrose, C12H22O11 | 342.30 | 2.921 | 29.21 |
| Tris, C4H11NO3 | 121.14 | 8.255 | 82.55 |
| Written as | Usual meaning | Dilution factor |
|---|---|---|
| 1:10 (lab) | 1 part sample in 10 parts total | 10 |
| 1+10 (cleaning, photo chemicals) | 1 part concentrate plus 10 parts water | 11 |
| 10x dilution or 10-fold | Factor of 10 | 10 |
| 1/10 | One tenth strength | 10 |
| 10 percent solution | 10 parts concentrate in 100 total | 10 |
| 1:1 | Equal parts, concentrate to diluent in some labels | 2 (if 1+1) |
| Mistake | Effect | Fix |
|---|---|---|
| Reading 1:10 as 1+10 | Mix is about 9 percent too weak or strong | Check how the label or protocol defines the ratio |
| Adding diluent equal to the final volume | Final volume is too large | Add diluent up to the final volume, not on top of it |
| Mixing mg/mL with percent | Concentration off by a factor of 10 | 1 percent w/v is 10 mg/mL |
| Swapping C1 and C2 | Stock volume far too large or small | C1 is the strong stock, C2 the final |
| Ignoring volume added by the concentrate | Slightly off for large fractions | Make up to volume in a graduated container |
Frequently Asked Questions About the Dilution Ratio Calculator
How to read a dilution ratio?
Read it as parts of concentrate to parts of diluent or total. In lab notation, 1:10 means 1 part of sample in 10 parts total, a factor of 10. On many cleaning and photo chemical labels, 1+10 means 1 part concentrate plus 10 parts water, a factor of 11. When unsure, check the label or protocol.
What is the dilution factor?
The dilution factor is the final volume divided by the volume of the original solution that went into it, DF = V final / V stock. A DF of 20 means the solution is one twentieth as strong. It also equals C stock / C final, so 100 mg/mL diluted to 5 mg/mL is a factor of 20.
What is the calculation for dilution factor?
Divide the final volume by the stock volume, or the stock concentration by the final concentration. If 25 mL of concentrate is made up to 500 mL, DF = 500 / 25 = 20. With a stock of 100 mg/mL and a target of 5 mg/mL, DF = 100 / 5 = 20 as well.
What does a 1:10 dilution factor mean?
One part of the stock goes into 10 parts total, so the final strength is one tenth, 10 percent. For 1,000 mL of finished solution, use 100 mL of stock and 900 mL of diluent. The concentration drops by a factor of 10, for example 100 mg/mL becomes 10 mg/mL.
What does a 1:20 dilution factor mean?
One part stock in 20 parts total, so the final solution is 5 percent of the original strength. Per litre, that is 50 mL of stock plus 950 mL of diluent. A 100 unit stock becomes 5 units. In the 1+20 convention, the factor would be 21.
Why is dilution factor 1/200?
Writing 1/200 means the final solution is one two-hundredth as strong as the stock, which is a dilution factor of 200. It is 0.5 percent of the original strength. For 1 litre, use 5 mL of stock and 995 mL of diluent. Antibody and reagent protocols often use fractions like this.
How to calculate ratio?
Divide the amounts. With 25 mL of concentrate and 475 mL of diluent, the total is 500 mL, so the factor is 500 / 25 = 20, written 1:20 (lab) or 1+19 (parts plus). The ratio of diluent to concentrate is 475 / 25 = 19. Enter both volumes in the ratio mode.
What is the difference between 1:10 and 1+10?
1:10 puts 1 part in 10 total, so the factor is 10 and 1 L needs 100 mL concentrate. 1+10 adds 10 parts to 1 part, a factor of 11, and 1 L needs 90.9 mL. The difference is about 9 percent, which matters for chemicals. The notation table compares both side by side.
How do I use C1V1 = C2V2?
C1 and V1 are the stock concentration and volume, C2 and V2 the final ones. Fill in three values and solve for the fourth. To make 500 mL at 5 mg/mL from 100 mg/mL, V1 = 5 × 500 / 100 = 25 mL, then add 475 mL of diluent. Keep the same units on both sides.
How do I calculate how much concentrate to add?
Divide the final volume by the dilution factor. For 3 US gallons at 1+10, the factor is 11, so concentrate = 3 × 3,785 mL / 11 = 1,032 mL, about 34.9 fl oz, and the rest is water. Always follow the product label for real products.
How do I convert weight by volume to molarity?
Divide the concentration in g per litre by the molar mass in g per mole to get mol per litre. For 10 mg/mL of sodium chloride, 10 g per L / 58.44 g per mol = 0.1711 M, or 171.1 mM. mg/mL equals g/L.
How to calculate reconstitution volume?
Divide the mass of powder by the concentration you want. For 50 mg at 10 mg/mL, the volume is 50 / 10 = 5 mL of solvent. Use the reconstitution mode, and add a molar mass to see the molarity as well. Follow the supplier's instructions for the solvent and storage.
How does a dilution calculator for mg/mL work?
It applies C1 x V1 = C2 x V2 with both concentrations in mg/mL. Choose which of C1, V1, C2 and V2 to solve for and enter the other three. Any concentration unit works if both sides use the same one. It also shows the diluent to add and the dilution factor.
Can this work out a drug dilution in mg/mL?
It does the arithmetic of concentration and volume, nothing more. It is not for dosing and it does not know what is safe. For any medicine, rely on the pharmacist, prescriber or product instructions. The calculator is meant for laboratory solutions, cleaning products and learning.
How does a serial dilution calculator work?
Each step dilutes by the same factor, so n steps of factor f give fn overall. Six 10-fold steps give 1,000,000. For tubes of 10 mL, transfer 1 mL and add 9 mL of diluent each time. A start of 1,000 units per mL ends at 0.001 units per mL.
How do I work out an antibody dilution?
Use the dilution factor from the protocol. A 1:1000 dilution in 10 mL needs 10 mL / 1,000 = 10 microlitres of antibody and the rest buffer, 9.99 mL. Follow the supplier's datasheet for the starting range and the diluent.
How do I calculate a cell dilution?
Multiply the measured concentration by the dilution factor. If a 1:10 dilution of a cell suspension reads 2.5 × 106 cells per mL, the original is 2.5 × 107 per mL. To dilute to a target, use C1 x V1 = C2 x V2 with the cell counts per mL as the concentrations.
How do I do a dilution calculation with molarity?
Use C1 x V1 = C2 x V2 with molarity on both sides. To make 100 mL of 0.1 M from a 1 M stock, V1 = 0.1 × 100 / 1 = 10 mL, then add 90 mL of solvent. The same arithmetic works for mM, uM or any other unit if both concentrations match.
How do I dilute a ppm solution?
Use C1 x V1 = C2 x V2 with ppm as the unit. From a 10,000 ppm stock to 200 ppm in 1 litre, V1 = 200 × 1 / 10,000 = 0.02 L, or 20 mL, with 980 mL of water. The dilution factor is 50.
How do I mix cleaning concentrate for a gallon?
Check the label for the ratio and whether it is 1:N or 1+N. For 1+10 in one US gallon, use 11.6 fl oz of concentrate and 116.4 fl oz of water. Never mix different products unless the label says so, and wear the protective gear it lists.
How accurate are the dilution results?
The arithmetic is exact for the numbers you enter. Real results depend on measuring accurately, on volumes that are not perfectly additive and on the purity of the stock. These are estimates for education and planning. Follow product labels and safety data sheets, and for pesticides or medicines follow the label or a professional.
References
- [1] Wikipedia contributors. “Dilution (equation).” Wikipedia. Accessed 2026-10-07.
- [2] Wikipedia contributors. “Serial dilution.” Wikipedia. Accessed 2026-10-07.
- [3] Wikipedia contributors. “Concentration.” Wikipedia. Accessed 2026-10-07.
- [4] Wikipedia contributors. “Gallon.” Wikipedia. Accessed 2026-10-07.
- [5] Wikipedia contributors. “Fluid ounce.” Wikipedia. Accessed 2026-10-07.
- [6] Wikipedia contributors. “Standard atomic weight.” Wikipedia. Accessed 2026-10-07.
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