8.59 is what percent of 69.41 - 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 69.41 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 69.41, so we can write it down as 100%=69.41.
4. We know, that x% equals 8.59 of the output value, so we can write it down as x%=8.59.
5. Now we have two simple equations:
1) 100%=69.41
2) x%=8.59
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%=69.41/8.59
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 8.59 is what percent of 69.41

100%/x%=69.41/8.59
(100/x)*x=(69.41/8.59)*x       - we multiply both sides of the equation by x
100=8.0803259604191*x       - we divide both sides of the equation by (8.0803259604191) to get x
100/8.0803259604191=x
12.37573836623=x
x=12.37573836623

now we have:
8.59 is 12.37573836623% of 69.41