96.7 is what percent of 711.53 - 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 711.53 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 711.53, so we can write it down as 100%=711.53.
4. We know, that x% equals 96.7 of the output value, so we can write it down as x%=96.7.
5. Now we have two simple equations:
1) 100%=711.53
2) x%=96.7
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%=711.53/96.7
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 96.7 is what percent of 711.53

100%/x%=711.53/96.7
(100/x)*x=(711.53/96.7)*x       - we multiply both sides of the equation by x
100=7.3581178903826*x       - we divide both sides of the equation by (7.3581178903826) to get x
100/7.3581178903826=x
13.590431886217=x
x=13.590431886217

now we have:
96.7 is 13.590431886217% of 711.53