51.96 is what percent of 710.17 - 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 710.17 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 710.17, so we can write it down as 100%=710.17.
4. We know, that x% equals 51.96 of the output value, so we can write it down as x%=51.96.
5. Now we have two simple equations:
1) 100%=710.17
2) x%=51.96
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%=710.17/51.96
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 51.96 is what percent of 710.17

100%/x%=710.17/51.96
(100/x)*x=(710.17/51.96)*x       - we multiply both sides of the equation by x
100=13.667628945343*x       - we divide both sides of the equation by (13.667628945343) to get x
100/13.667628945343=x
7.3165580072377=x
x=7.3165580072377

now we have:
51.96 is 7.3165580072377% of 710.17