82.4 is what percent of 412.5 - 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 412.5 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 412.5, so we can write it down as 100%=412.5.
4. We know, that x% equals 82.4 of the output value, so we can write it down as x%=82.4.
5. Now we have two simple equations:
1) 100%=412.5
2) x%=82.4
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%=412.5/82.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 82.4 is what percent of 412.5

100%/x%=412.5/82.4
(100/x)*x=(412.5/82.4)*x       - we multiply both sides of the equation by x
100=5.006067961165*x       - we divide both sides of the equation by (5.006067961165) to get x
100/5.006067961165=x
19.975757575758=x
x=19.975757575758

now we have:
82.4 is 19.975757575758% of 412.5