Set up and solve a proportion to solve the problem.

The number
21
21 is what percent of
75
75?

%

1 answer

To determine what percent 21 is of 75, we can set up a proportion. The formula for finding a percentage is:

\[ \text{Percentage} = \left(\frac{\text{Part}}{\text{Whole}}\right) \times 100 \]

In this case, we have:

  • Part = 21
  • Whole = 75

We can set up the proportion as follows:

\[ \frac{21}{75} = \frac{x}{100} \]

where \(x\) represents the percentage we are trying to find. Now we can cross-multiply to solve for \(x\):

\[ 21 \times 100 = 75 \times x \]

This simplifies to:

\[ 2100 = 75x \]

Next, solve for \(x\) by dividing both sides by 75:

\[ x = \frac{2100}{75} \]

Calculating the right side:

\[ x = 28 \]

So, 21 is 28% of 75.

Answer: 28%