36.85 is what percent of 414.98 - 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 414.98 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 414.98, so we can write it down as 100%=414.98.
4. We know, that x% equals 36.85 of the output value, so we can write it down as x%=36.85.
5. Now we have two simple equations:
1) 100%=414.98
2) x%=36.85
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%=414.98/36.85
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 36.85 is what percent of 414.98

100%/x%=414.98/36.85
(100/x)*x=(414.98/36.85)*x       - we multiply both sides of the equation by x
100=11.261329715061*x       - we divide both sides of the equation by (11.261329715061) to get x
100/11.261329715061=x
8.879946021495=x
x=8.879946021495

now we have:
36.85 is 8.879946021495% of 414.98