521.8 is what percent of 634 - 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 634 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 634, so we can write it down as 100%=634.
4. We know, that x% equals 521.8 of the output value, so we can write it down as x%=521.8.
5. Now we have two simple equations:
1) 100%=634
2) x%=521.8
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%=634/521.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 521.8 is what percent of 634

100%/x%=634/521.8
(100/x)*x=(634/521.8)*x       - we multiply both sides of the equation by x
100=1.2150249137601*x       - we divide both sides of the equation by (1.2150249137601) to get x
100/1.2150249137601=x
82.302839116719=x
x=82.302839116719

now we have:
521.8 is 82.302839116719% of 634