22.5 is what percent of 88.26 - step by step solution

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 88.26 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 100% equals 88.26, so we can write it down as 100%=88.26.
4. We know, that x% equals 22.5 of the output value, so we can write it down as x%=22.5.
5. Now we have two simple equations:
1) 100%=88.26
2) x%=22.5
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
100%/x%=88.26/22.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 22.5 is what percent of 88.26

100%/x%=88.26/22.5
(100/x)*x=(88.26/22.5)*x       - we multiply both sides of the equation by x
100=3.9226666666667*x       - we divide both sides of the equation by (3.9226666666667) to get x
100/3.9226666666667=x
25.49286199864=x
x=25.49286199864

now we have:
22.5 is 25.49286199864% of 88.26