59.95 is what percent of 53.95 - 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 53.95 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 53.95, so we can write it down as 100%=53.95.
4. We know, that x% equals 59.95 of the output value, so we can write it down as x%=59.95.
5. Now we have two simple equations:
1) 100%=53.95
2) x%=59.95
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%=53.95/59.95
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 59.95 is what percent of 53.95

100%/x%=53.95/59.95
(100/x)*x=(53.95/59.95)*x       - we multiply both sides of the equation by x
100=0.8999165971643*x       - we divide both sides of the equation by (0.8999165971643) to get x
100/0.8999165971643=x
111.12140871177=x
x=111.12140871177

now we have:
59.95 is 111.12140871177% of 53.95