59.95 is what percent of 75.95 - 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 75.95 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 75.95, so we can write it down as 100%=75.95.
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%=75.95
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%=75.95/59.95
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 75.95

100%/x%=75.95/59.95
(100/x)*x=(75.95/59.95)*x       - we multiply both sides of the equation by x
100=1.2668890742285*x       - we divide both sides of the equation by (1.2668890742285) to get x
100/1.2668890742285=x
78.933508887426=x
x=78.933508887426

now we have:
59.95 is 78.933508887426% of 75.95