107.35 is what percent of 1162.25 - 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 1162.25 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 1162.25, so we can write it down as 100%=1162.25.
4. We know, that x% equals 107.35 of the output value, so we can write it down as x%=107.35.
5. Now we have two simple equations:
1) 100%=1162.25
2) x%=107.35
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%=1162.25/107.35
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 107.35 is what percent of 1162.25

100%/x%=1162.25/107.35
(100/x)*x=(1162.25/107.35)*x       - we multiply both sides of the equation by x
100=10.826734979041*x       - we divide both sides of the equation by (10.826734979041) to get x
100/10.826734979041=x
9.2363949236395=x
x=9.2363949236395

now we have:
107.35 is 9.2363949236395% of 1162.25