59.99 is what percent of 85.5 - 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 85.5 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 85.5, so we can write it down as 100%=85.5.
4. We know, that x% equals 59.99 of the output value, so we can write it down as x%=59.99.
5. Now we have two simple equations:
1) 100%=85.5
2) x%=59.99
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%=85.5/59.99
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 59.99 is what percent of 85.5

100%/x%=85.5/59.99
(100/x)*x=(85.5/59.99)*x       - we multiply both sides of the equation by x
100=1.4252375395899*x       - we divide both sides of the equation by (1.4252375395899) to get x
100/1.4252375395899=x
70.163742690058=x
x=70.163742690058

now we have:
59.99 is 70.163742690058% of 85.5