717.17 is what percent of 1009.6 - 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 1009.6 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 1009.6, so we can write it down as 100%=1009.6.
4. We know, that x% equals 717.17 of the output value, so we can write it down as x%=717.17.
5. Now we have two simple equations:
1) 100%=1009.6
2) x%=717.17
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%=1009.6/717.17
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 717.17 is what percent of 1009.6

100%/x%=1009.6/717.17
(100/x)*x=(1009.6/717.17)*x       - we multiply both sides of the equation by x
100=1.4077554833582*x       - we divide both sides of the equation by (1.4077554833582) to get x
100/1.4077554833582=x
71.035063391442=x
x=71.035063391442

now we have:
717.17 is 71.035063391442% of 1009.6