117.81 is what percent of 1812.5 - 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 1812.5 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 1812.5, so we can write it down as 100%=1812.5.
4. We know, that x% equals 117.81 of the output value, so we can write it down as x%=117.81.
5. Now we have two simple equations:
1) 100%=1812.5
2) x%=117.81
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%=1812.5/117.81
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 117.81 is what percent of 1812.5

100%/x%=1812.5/117.81
(100/x)*x=(1812.5/117.81)*x       - we multiply both sides of the equation by x
100=15.38494185553*x       - we divide both sides of the equation by (15.38494185553) to get x
100/15.38494185553=x
6.4998620689655=x
x=6.4998620689655

now we have:
117.81 is 6.4998620689655% of 1812.5