54.35 is what percent of 169.36 - 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 169.36 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 169.36, so we can write it down as 100%=169.36.
4. We know, that x% equals 54.35 of the output value, so we can write it down as x%=54.35.
5. Now we have two simple equations:
1) 100%=169.36
2) x%=54.35
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%=169.36/54.35
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 54.35 is what percent of 169.36

100%/x%=169.36/54.35
(100/x)*x=(169.36/54.35)*x       - we multiply both sides of the equation by x
100=3.1160993560258*x       - we divide both sides of the equation by (3.1160993560258) to get x
100/3.1160993560258=x
32.091402928673=x
x=32.091402928673

now we have:
54.35 is 32.091402928673% of 169.36