How much is 40 percent of one third

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%