54.17 is what percent of 252 - 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 252 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 252, so we can write it down as 100%=252.
4. We know, that x% equals 54.17 of the output value, so we can write it down as x%=54.17.
5. Now we have two simple equations:
1) 100%=252
2) x%=54.17
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%=252/54.17
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 54.17 is what percent of 252

100%/x%=252/54.17
(100/x)*x=(252/54.17)*x       - we multiply both sides of the equation by x
100=4.6520214140668*x       - we divide both sides of the equation by (4.6520214140668) to get x
100/4.6520214140668=x
21.496031746032=x
x=21.496031746032

now we have:
54.17 is 21.496031746032% of 252