78.2 is what percent of 352.4 - 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 352.4 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 352.4, so we can write it down as 100%=352.4.
4. We know, that x% equals 78.2 of the output value, so we can write it down as x%=78.2.
5. Now we have two simple equations:
1) 100%=352.4
2) x%=78.2
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%=352.4/78.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 78.2 is what percent of 352.4

100%/x%=352.4/78.2
(100/x)*x=(352.4/78.2)*x       - we multiply both sides of the equation by x
100=4.5063938618926*x       - we divide both sides of the equation by (4.5063938618926) to get x
100/4.5063938618926=x
22.190692395006=x
x=22.190692395006

now we have:
78.2 is 22.190692395006% of 352.4