We are asked to determine which number has a 40% equal to 22. Let's remember that when we want to obtain the x% of a number "n" we use the following relationship:
[tex]n\times\frac{x}{100}[/tex]Now, we are given that this percentage must be equal to 22 and that the percentage is 40, therefore, we can substitute the following:
[tex]n\times\frac{40}{100}=22[/tex]Now we need to solve for "n". To do that we will multiply both sides by 100:
[tex]n\times40=22\times100[/tex]Now, we divide both sides by 40:
[tex]n=\frac{22\times100}{40}[/tex]Solving the operations:
[tex]n=55[/tex]Therefore, the 40% of 55 is 22. The number we are looking for is 55.
