# How much is 100 percent of a third

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We think you reached us looking for answers like: What is 100 (100%) percent (%) of a third (1/3)? Or may be: How much is 100 percent of a third. See the solutions to these problems below.

## How to work out percentages - Step by Step

Here are the solutions to the questions stated above:

### 1) What is 100% of 1/3?

Always use this formula to find a percentage:

% / 100 = Part / Whole replace the given values:

100 / 100 = Part / 1/3

Cross multiply:

100 x 1/3 = 100 x Part, or

33.333333333333 = 100 x Part

Now, divide by 100 and get the answer:

Part = 33.333333333333 / 100 = 1

### 2) 100 is what percent of 1/3?

Use again the same percentage formula:

% / 100 = Part / Whole replace the given values:

% / 100 = 100 / 1/3

Cross multiply:

% x 1/3 = 100 x 100

Divide by 1/3 and get the percentage:

% = 100 x 100 / 1/3 = 30000%