63.6 is what percent of 331.3 - 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 331.3 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 331.3, so we can write it down as 100%=331.3.
4. We know, that x% equals 63.6 of the output value, so we can write it down as x%=63.6.
5. Now we have two simple equations:
1) 100%=331.3
2) x%=63.6
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%=331.3/63.6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 63.6 is what percent of 331.3

100%/x%=331.3/63.6
(100/x)*x=(331.3/63.6)*x       - we multiply both sides of the equation by x
100=5.2091194968553*x       - we divide both sides of the equation by (5.2091194968553) to get x
100/5.2091194968553=x
19.197102324177=x
x=19.197102324177

now we have:
63.6 is 19.197102324177% of 331.3