22.5 is what percent of 282.5 - 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 282.5 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 282.5, so we can write it down as 100%=282.5.
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%=282.5
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%=282.5/22.5
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 282.5

100%/x%=282.5/22.5
(100/x)*x=(282.5/22.5)*x       - we multiply both sides of the equation by x
100=12.555555555556*x       - we divide both sides of the equation by (12.555555555556) to get x
100/12.555555555556=x
7.9646017699115=x
x=7.9646017699115

now we have:
22.5 is 7.9646017699115% of 282.5