82 is what percent of 10552 - 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 10552 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 10552, so we can write it down as 100%=10552.
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%=10552
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%=10552/82
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 10552

100%/x%=10552/82
(100/x)*x=(10552/82)*x       - we multiply both sides of the equation by x
100=128.68292682927*x       - we divide both sides of the equation by (128.68292682927) to get x
100/128.68292682927=x
0.77710386656558=x
x=0.77710386656558

now we have:
82 is 0.77710386656558% of 10552