70.04 is what percent of 82.4 - 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 82.4 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 82.4, so we can write it down as 100%=82.4.
4. We know, that x% equals 70.04 of the output value, so we can write it down as x%=70.04.
5. Now we have two simple equations:
1) 100%=82.4
2) x%=70.04
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%=82.4/70.04
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 70.04 is what percent of 82.4

100%/x%=82.4/70.04
(100/x)*x=(82.4/70.04)*x       - we multiply both sides of the equation by x
100=1.1764705882353*x       - we divide both sides of the equation by (1.1764705882353) to get x
100/1.1764705882353=x
85=x
x=85

now we have:
70.04 is 85% of 82.4