53.95 is what percent of 63.95 - 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 63.95 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 63.95, so we can write it down as 100%=63.95.
4. We know, that x% equals 53.95 of the output value, so we can write it down as x%=53.95.
5. Now we have two simple equations:
1) 100%=63.95
2) x%=53.95
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%=63.95/53.95
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 53.95 is what percent of 63.95

100%/x%=63.95/53.95
(100/x)*x=(63.95/53.95)*x       - we multiply both sides of the equation by x
100=1.1853568118628*x       - we divide both sides of the equation by (1.1853568118628) to get x
100/1.1853568118628=x
84.36278342455=x
x=84.36278342455

now we have:
53.95 is 84.36278342455% of 63.95