33.6 is what percent of 287.4 - 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 287.4 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 287.4, so we can write it down as 100%=287.4.
4. We know, that x% equals 33.6 of the output value, so we can write it down as x%=33.6.
5. Now we have two simple equations:
1) 100%=287.4
2) x%=33.6
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%=287.4/33.6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 33.6 is what percent of 287.4

100%/x%=287.4/33.6
(100/x)*x=(287.4/33.6)*x       - we multiply both sides of the equation by x
100=8.5535714285714*x       - we divide both sides of the equation by (8.5535714285714) to get x
100/8.5535714285714=x
11.691022964509=x
x=11.691022964509

now we have:
33.6 is 11.691022964509% of 287.4