82.52 is what percent of 6700 - 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 6700 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 6700, so we can write it down as 100%=6700.
4. We know, that x% equals 82.52 of the output value, so we can write it down as x%=82.52.
5. Now we have two simple equations:
1) 100%=6700
2) x%=82.52
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%=6700/82.52
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 82.52 is what percent of 6700

100%/x%=6700/82.52
(100/x)*x=(6700/82.52)*x       - we multiply both sides of the equation by x
100=81.192438196801*x       - we divide both sides of the equation by (81.192438196801) to get x
100/81.192438196801=x
1.2316417910448=x
x=1.2316417910448

now we have:
82.52 is 1.2316417910448% of 6700