34.73 is what percent of 63.57 - 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 63.57 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 63.57, so we can write it down as 100%=63.57.
4. We know, that x% equals 34.73 of the output value, so we can write it down as x%=34.73.
5. Now we have two simple equations:
1) 100%=63.57
2) x%=34.73
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%=63.57/34.73
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 34.73 is what percent of 63.57

100%/x%=63.57/34.73
(100/x)*x=(63.57/34.73)*x       - we multiply both sides of the equation by x
100=1.8304059890585*x       - we divide both sides of the equation by (1.8304059890585) to get x
100/1.8304059890585=x
54.63268837502=x
x=54.63268837502

now we have:
34.73 is 54.63268837502% of 63.57