Convert mass concentration and percent on a stated w/v or w/w basis. Mass units include mg/L, g/L, mg/mL and g/100 mL. With solution density, w/w results also give mass-fraction equivalents in mg/kg (ppm) and µg/kg (ppb).
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mg/L to Percent Formula
The following formula converts milligrams per liter into the conventional mass/volume percentage (% w/v), meaning grams of solute per100 mL of final solution. For mass/mass percentage (% w/w), meaning grams per100 g of total solution, use the complete solution density ρ in g/mL: % w/w = (mg/L) ÷ (10,000 ×ρ). Reverse this with mg/L = % w/w ×10,000 ×ρ. See the FDA definitions of w/v and w/w and NIST guidance on percentages and mass fractions.
You can also reverse the conversion with the following relationship:
Variables:
- % is the concentration expressed as percent weight/volume
- mg/L is the concentration expressed in milligrams per liter
To calculate percent from mg/L, divide the mg/L value by 10,000.
What is mg/L to Percent Conversion?
Converting mg/L to percent changes a concentration from one scale to another. A value in mg/L tells you how many milligrams of a substance are present in one liter of solution. A percent weight/volume value tells you how many grams of a substance are present in 100 milliliters of solution. The w/v relation1% =10,000 mg/L follows directly from the mass and volume units and applies without assuming a particular density or dilute water solution. By contrast, converting mg/L to % w/w requires solution density.
This means the conversion is a straightforward rescaling. Smaller mg/L values produce smaller percent values, while larger mg/L values produce larger percent values in the same proportion.
How to Convert mg/L to Percent?
The following steps convert mg/L to percent w/v. For w/w, include solution density as described above. The denominator is final solution volume or total solution mass, not solvent alone.
- First, determine the concentration in mg/L.
- Next, use the relationship that 1% w/v = 10,000 mg/L.
- Then divide the mg/L value by 10,000 to find the equivalent percent concentration.
- Finally, check your answer with the calculator above.
mg/L to Percent Conversion Table
The table below shows sample w/v conversions using % w/v = mg/L ÷10,000. It is not a density-independent w/w or ppm table. For mass fraction, ppm = (mg/L) ÷ρ and ppb =1,000 ×ppm, with ρ in g/mL; mg/L and ppm by mass coincide numerically only at1 g/mL.
| Concentration (mg/L) | Calculation | Percent (% w/v) |
|---|---|---|
| 100 | 100 ÷ 10,000 | 0.01% |
| 250 | 250 ÷ 10,000 | 0.025% |
| 500 | 500 ÷ 10,000 | 0.05% |
| 1,000 | 1,000 ÷ 10,000 | 0.1% |
| 10,000 | 10,000 ÷ 10,000 | 1% |
| 50,000 | 50,000 ÷ 10,000 | 5% |
Example Problem:
Use the following values as an example problem to test your knowledge.
Concentration = 1,000 mg/L
Percent = 1,000 ÷ 10,000 = 0.1%
So, a concentration of 1,000 mg/L is equal to 0.1% w/v.
