71.95 is what percent of 55.95 - 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 55.95 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 55.95, so we can write it down as 100%=55.95.
4. We know, that x% equals 71.95 of the output value, so we can write it down as x%=71.95.
5. Now we have two simple equations:
1) 100%=55.95
2) x%=71.95
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%=55.95/71.95
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 71.95 is what percent of 55.95

100%/x%=55.95/71.95
(100/x)*x=(55.95/71.95)*x       - we multiply both sides of the equation by x
100=0.7776233495483*x       - we divide both sides of the equation by (0.7776233495483) to get x
100/0.7776233495483=x
128.59696157283=x
x=128.59696157283

now we have:
71.95 is 128.59696157283% of 55.95