47.36 is what percent of 252.64 - 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 252.64 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 252.64, so we can write it down as 100%=252.64.
4. We know, that x% equals 47.36 of the output value, so we can write it down as x%=47.36.
5. Now we have two simple equations:
1) 100%=252.64
2) x%=47.36
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%=252.64/47.36
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 47.36 is what percent of 252.64

100%/x%=252.64/47.36
(100/x)*x=(252.64/47.36)*x       - we multiply both sides of the equation by x
100=5.3344594594595*x       - we divide both sides of the equation by (5.3344594594595) to get x
100/5.3344594594595=x
18.746041798607=x
x=18.746041798607

now we have:
47.36 is 18.746041798607% of 252.64