69.1 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 69.1 of the output value, so we can write it down as x%=69.1.
5. Now we have two simple equations:
1) 100%=88
2) x%=69.1
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%=88/69.1
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 69.1 is what percent of 88

100%/x%=88/69.1
(100/x)*x=(88/69.1)*x       - we multiply both sides of the equation by x
100=1.273516642547*x       - we divide both sides of the equation by (1.273516642547) to get x
100/1.273516642547=x
78.522727272727=x
x=78.522727272727

now we have:
69.1 is 78.522727272727% of 88