50.62 is what percent of 99.96 - 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 99.96 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 99.96, so we can write it down as 100%=99.96.
4. We know, that x% equals 50.62 of the output value, so we can write it down as x%=50.62.
5. Now we have two simple equations:
1) 100%=99.96
2) x%=50.62
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%=99.96/50.62
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 50.62 is what percent of 99.96

100%/x%=99.96/50.62
(100/x)*x=(99.96/50.62)*x       - we multiply both sides of the equation by x
100=1.9747135519557*x       - we divide both sides of the equation by (1.9747135519557) to get x
100/1.9747135519557=x
50.640256102441=x
x=50.640256102441

now we have:
50.62 is 50.640256102441% of 99.96