63.71 is what percent of 102.14 - 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 102.14 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 102.14, so we can write it down as 100%=102.14.
4. We know, that x% equals 63.71 of the output value, so we can write it down as x%=63.71.
5. Now we have two simple equations:
1) 100%=102.14
2) x%=63.71
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%=102.14/63.71
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 63.71 is what percent of 102.14

100%/x%=102.14/63.71
(100/x)*x=(102.14/63.71)*x       - we multiply both sides of the equation by x
100=1.6032020091038*x       - we divide both sides of the equation by (1.6032020091038) to get x
100/1.6032020091038=x
62.375171333464=x
x=62.375171333464

now we have:
63.71 is 62.375171333464% of 102.14