114.59 is what percent of 1147.96 - 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 1147.96 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 1147.96, so we can write it down as 100%=1147.96.
4. We know, that x% equals 114.59 of the output value, so we can write it down as x%=114.59.
5. Now we have two simple equations:
1) 100%=1147.96
2) x%=114.59
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%=1147.96/114.59
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 114.59 is what percent of 1147.96

100%/x%=1147.96/114.59
(100/x)*x=(1147.96/114.59)*x       - we multiply both sides of the equation by x
100=10.017977135876*x       - we divide both sides of the equation by (10.017977135876) to get x
100/10.017977135876=x
9.9820551238719=x
x=9.9820551238719

now we have:
114.59 is 9.9820551238719% of 1147.96