59.66 is what percent of 69.36 - 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 69.36 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 69.36, so we can write it down as 100%=69.36.
4. We know, that x% equals 59.66 of the output value, so we can write it down as x%=59.66.
5. Now we have two simple equations:
1) 100%=69.36
2) x%=59.66
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%=69.36/59.66
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 59.66 is what percent of 69.36

100%/x%=69.36/59.66
(100/x)*x=(69.36/59.66)*x       - we multiply both sides of the equation by x
100=1.1625879986591*x       - we divide both sides of the equation by (1.1625879986591) to get x
100/1.1625879986591=x
86.014994232987=x
x=86.014994232987

now we have:
59.66 is 86.014994232987% of 69.36