# How much is 40 percent of one third

Using this tool you can find any percentage in three ways. So, we think you reached us looking for answers like: What is 40 (40%) percent (%) of one third (1/3)? Or may be: How much is 40 percent of one third. See the solutions to these problems just after the percentage calculator below.

See the solutions to these problems just after the percentage calculator below.

## How to work out percentages - Step by Step

Here are the solutions to the questions stated above:

### 1) What is 40% of 1/3?

Always use this formula to find a percentage:

^{%} / _{100} = ^{Part} / _{Whole} replace the given values:

^{40} / _{100} = ^{Part} / _{1/3}

Cross multiply:

40 x 1/3 = 100 x Part, or

13.333333333333 = 100 x Part

Now, divide by 100 and get the answer:

Part = ^{13.333333333333} / _{100} = 0.4

### 2) 40 is what percent of 1/3?

Use again the same percentage formula:

^{%} / _{100} = ^{Part} / _{Whole} replace the given values:

^{%} / _{100} = ^{40} / _{1/3}

Cross multiply:

% x 1/3 = 40 x 100

Divide by 1/3 and get the percentage:

% = ^{40 x 100} / _{1/3} = 12000%