Convert Fraction to Percentage: Solving 22/25 Step-by-Step

Question

Convert the fraction into a percentage:

$\frac{22}{25}=\text{?}$

00:06 Let's change the fraction into a percentage.

00:11 When the bottom number of a fraction is one hundred, the top number is the percentage. Easy, right?

00:23 Now, let's find out what to multiply the bottom number by to make it one hundred.

00:33 Multiply both the top and bottom by four, so the bottom number becomes one hundred.

00:51 Now apply this trick to solve our problem.

00:57 And there you have it! That's the solution.

To convert a fraction to a percentage, the denominator must be converted to 100

$25\times4=100$

We also multiply the numerator by the same number, that is, 4:

$\frac{22\times4}{25\times4}=\frac{88}{100}$

Now we use the formula

$\frac{x}{100}=x\%$

$\frac{88}{100}=88\%$

88%