82 is what percent of 101.5 - 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 101.5 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 101.5, so we can write it down as 100%=101.5.
4. We know, that x% equals 82 of the output value, so we can write it down as x%=82.
5. Now we have two simple equations:
1) 100%=101.5
2) x%=82
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%=101.5/82
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 82 is what percent of 101.5

100%/x%=101.5/82
(100/x)*x=(101.5/82)*x       - we multiply both sides of the equation by x
100=1.2378048780488*x       - we divide both sides of the equation by (1.2378048780488) to get x
100/1.2378048780488=x
80.788177339901=x
x=80.788177339901

now we have:
82 is 80.788177339901% of 101.5