34.5 is what percent of 38.64 - 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 38.64 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 38.64, so we can write it down as 100%=38.64.
4. We know, that x% equals 34.5 of the output value, so we can write it down as x%=34.5.
5. Now we have two simple equations:
1) 100%=38.64
2) x%=34.5
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%=38.64/34.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 34.5 is what percent of 38.64

100%/x%=38.64/34.5
(100/x)*x=(38.64/34.5)*x       - we multiply both sides of the equation by x
100=1.12*x       - we divide both sides of the equation by (1.12) to get x
100/1.12=x
89.285714285714=x
x=89.285714285714

now we have:
34.5 is 89.285714285714% of 38.64