5635.85 is what percent of 41877.02 - 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 41877.02 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 41877.02, so we can write it down as 100%=41877.02.
4. We know, that x% equals 5635.85 of the output value, so we can write it down as x%=5635.85.
5. Now we have two simple equations:
1) 100%=41877.02
2) x%=5635.85
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%=41877.02/5635.85
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 5635.85 is what percent of 41877.02

100%/x%=41877.02/5635.85
(100/x)*x=(41877.02/5635.85)*x       - we multiply both sides of the equation by x
100=7.4304710025994*x       - we divide both sides of the equation by (7.4304710025994) to get x
100/7.4304710025994=x
13.458097066124=x
x=13.458097066124

now we have:
5635.85 is 13.458097066124% of 41877.02