65.66 is what percent of 88 - 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 88 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 88, so we can write it down as 100%=88.
4. We know, that x% equals 65.66 of the output value, so we can write it down as x%=65.66.
5. Now we have two simple equations:
1) 100%=88
2) x%=65.66
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%=88/65.66
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 65.66 is what percent of 88

100%/x%=88/65.66
(100/x)*x=(88/65.66)*x       - we multiply both sides of the equation by x
100=1.3402375875723*x       - we divide both sides of the equation by (1.3402375875723) to get x
100/1.3402375875723=x
74.613636363636=x
x=74.613636363636

now we have:
65.66 is 74.613636363636% of 88