63.55 is what percent of 134.45 - 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 134.45 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 134.45, so we can write it down as 100%=134.45.
4. We know, that x% equals 63.55 of the output value, so we can write it down as x%=63.55.
5. Now we have two simple equations:
1) 100%=134.45
2) x%=63.55
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%=134.45/63.55
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 63.55 is what percent of 134.45

100%/x%=134.45/63.55
(100/x)*x=(134.45/63.55)*x       - we multiply both sides of the equation by x
100=2.1156569630212*x       - we divide both sides of the equation by (2.1156569630212) to get x
100/2.1156569630212=x
47.266641874303=x
x=47.266641874303

now we have:
63.55 is 47.266641874303% of 134.45