116.47 is what percent of 711.14 - 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 711.14 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 711.14, so we can write it down as 100%=711.14.
4. We know, that x% equals 116.47 of the output value, so we can write it down as x%=116.47.
5. Now we have two simple equations:
1) 100%=711.14
2) x%=116.47
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%=711.14/116.47
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 116.47 is what percent of 711.14

100%/x%=711.14/116.47
(100/x)*x=(711.14/116.47)*x       - we multiply both sides of the equation by x
100=6.1057783120117*x       - we divide both sides of the equation by (6.1057783120117) to get x
100/6.1057783120117=x
16.377928396659=x
x=16.377928396659

now we have:
116.47 is 16.377928396659% of 711.14