32.55 is what percent of 55.04 - 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 55.04 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 55.04, so we can write it down as 100%=55.04.
4. We know, that x% equals 32.55 of the output value, so we can write it down as x%=32.55.
5. Now we have two simple equations:
1) 100%=55.04
2) x%=32.55
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%=55.04/32.55
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 32.55 is what percent of 55.04

100%/x%=55.04/32.55
(100/x)*x=(55.04/32.55)*x       - we multiply both sides of the equation by x
100=1.6909370199693*x       - we divide both sides of the equation by (1.6909370199693) to get x
100/1.6909370199693=x
59.138808139535=x
x=59.138808139535

now we have:
32.55 is 59.138808139535% of 55.04