8.69 is what percent of 117.4 - 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 117.4 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 117.4, so we can write it down as 100%=117.4.
4. We know, that x% equals 8.69 of the output value, so we can write it down as x%=8.69.
5. Now we have two simple equations:
1) 100%=117.4
2) x%=8.69
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%=117.4/8.69
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 8.69 is what percent of 117.4

100%/x%=117.4/8.69
(100/x)*x=(117.4/8.69)*x       - we multiply both sides of the equation by x
100=13.509781357883*x       - we divide both sides of the equation by (13.509781357883) to get x
100/13.509781357883=x
7.4020442930153=x
x=7.4020442930153

now we have:
8.69 is 7.4020442930153% of 117.4