112.4 is what percent of 356.4 - 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 356.4 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 356.4, so we can write it down as 100%=356.4.
4. We know, that x% equals 112.4 of the output value, so we can write it down as x%=112.4.
5. Now we have two simple equations:
1) 100%=356.4
2) x%=112.4
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%=356.4/112.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 112.4 is what percent of 356.4

100%/x%=356.4/112.4
(100/x)*x=(356.4/112.4)*x       - we multiply both sides of the equation by x
100=3.1708185053381*x       - we divide both sides of the equation by (3.1708185053381) to get x
100/3.1708185053381=x
31.537598204265=x
x=31.537598204265

now we have:
112.4 is 31.537598204265% of 356.4