66.9 is what percent of 87.9 - 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 87.9 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 87.9, so we can write it down as 100%=87.9.
4. We know, that x% equals 66.9 of the output value, so we can write it down as x%=66.9.
5. Now we have two simple equations:
1) 100%=87.9
2) x%=66.9
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%=87.9/66.9
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 66.9 is what percent of 87.9

100%/x%=87.9/66.9
(100/x)*x=(87.9/66.9)*x       - we multiply both sides of the equation by x
100=1.3139013452915*x       - we divide both sides of the equation by (1.3139013452915) to get x
100/1.3139013452915=x
76.109215017065=x
x=76.109215017065

now we have:
66.9 is 76.109215017065% of 87.9