82.06 is what percent of 820.6 - 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 820.6 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 820.6, so we can write it down as 100%=820.6.
4. We know, that x% equals 82.06 of the output value, so we can write it down as x%=82.06.
5. Now we have two simple equations:
1) 100%=820.6
2) x%=82.06
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%=820.6/82.06
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 82.06 is what percent of 820.6

100%/x%=820.6/82.06
(100/x)*x=(820.6/82.06)*x       - we multiply both sides of the equation by x
100=10*x       - we divide both sides of the equation by (10) to get x
100/10=x
10=x
x=10

now we have:
82.06 is 10% of 820.6