71 is what percent of 717 - 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 717 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 717, so we can write it down as 100%=717.
4. We know, that x% equals 71 of the output value, so we can write it down as x%=71.
5. Now we have two simple equations:
1) 100%=717
2) x%=71
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%=717/71
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 71 is what percent of 717

100%/x%=717/71
(100/x)*x=(717/71)*x       - we multiply both sides of the equation by x
100=10.098591549296*x       - we divide both sides of the equation by (10.098591549296) to get x
100/10.098591549296=x
9.9023709902371=x
x=9.9023709902371

now we have:
71 is 9.9023709902371% of 717