83 is what percent of 157.5 - 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 157.5 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 157.5, so we can write it down as 100%=157.5.
4. We know, that x% equals 83 of the output value, so we can write it down as x%=83.
5. Now we have two simple equations:
1) 100%=157.5
2) x%=83
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%=157.5/83
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 83 is what percent of 157.5

100%/x%=157.5/83
(100/x)*x=(157.5/83)*x       - we multiply both sides of the equation by x
100=1.8975903614458*x       - we divide both sides of the equation by (1.8975903614458) to get x
100/1.8975903614458=x
52.698412698413=x
x=52.698412698413

now we have:
83 is 52.698412698413% of 157.5