22.82 is what percent of 152.15 - 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 152.15 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 152.15, so we can write it down as 100%=152.15.
4. We know, that x% equals 22.82 of the output value, so we can write it down as x%=22.82.
5. Now we have two simple equations:
1) 100%=152.15
2) x%=22.82
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%=152.15/22.82
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 22.82 is what percent of 152.15

100%/x%=152.15/22.82
(100/x)*x=(152.15/22.82)*x       - we multiply both sides of the equation by x
100=6.6673970201578*x       - we divide both sides of the equation by (6.6673970201578) to get x
100/6.6673970201578=x
14.998356884653=x
x=14.998356884653

now we have:
22.82 is 14.998356884653% of 152.15