Set up and solve a proportion to solve the problem.

The number
88
88 is
44
%
44% of what number?

1 answer

To set up a proportion, we can represent the relationship using the formula for percentages. The formula is:

\[ \text{part} = \text{percentage} \times \text{whole} \]

In this case, we know:

  • The part is 88.
  • The percentage is 44%, which can be expressed as a decimal (0.44).
  • The whole is the unknown number we want to find, let's call it \( x \).

We can set up the equation as follows:

\[ 88 = 0.44 \times x \]

To solve for \( x \), we can divide both sides of the equation by 0.44:

\[ x = \frac{88}{0.44} \]

Calculating this gives:

\[ x = 200 \]

Thus, the number 88 is 44% of 200.