46.37 is what percent of 52.85 - 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 52.85 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 52.85, so we can write it down as 100%=52.85.
4. We know, that x% equals 46.37 of the output value, so we can write it down as x%=46.37.
5. Now we have two simple equations:
1) 100%=52.85
2) x%=46.37
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%=52.85/46.37
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 46.37 is what percent of 52.85

100%/x%=52.85/46.37
(100/x)*x=(52.85/46.37)*x       - we multiply both sides of the equation by x
100=1.139745525124*x       - we divide both sides of the equation by (1.139745525124) to get x
100/1.139745525124=x
87.738883632923=x
x=87.738883632923

now we have:
46.37 is 87.738883632923% of 52.85