709.9 is what percent of 116.3 - 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 116.3 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 116.3, so we can write it down as 100%=116.3.
4. We know, that x% equals 709.9 of the output value, so we can write it down as x%=709.9.
5. Now we have two simple equations:
1) 100%=116.3
2) x%=709.9
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%=116.3/709.9
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 709.9 is what percent of 116.3

100%/x%=116.3/709.9
(100/x)*x=(116.3/709.9)*x       - we multiply both sides of the equation by x
100=0.16382589097056*x       - we divide both sides of the equation by (0.16382589097056) to get x
100/0.16382589097056=x
610.40412725709=x
x=610.40412725709

now we have:
709.9 is 610.40412725709% of 116.3