83 is what percent of 102.5 - 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 102.5 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 102.5, so we can write it down as 100%=102.5.
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%=102.5
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%=102.5/83
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 102.5

100%/x%=102.5/83
(100/x)*x=(102.5/83)*x       - we multiply both sides of the equation by x
100=1.2349397590361*x       - we divide both sides of the equation by (1.2349397590361) to get x
100/1.2349397590361=x
80.975609756098=x
x=80.975609756098

now we have:
83 is 80.975609756098% of 102.5