8.69 is what percent of 172.82 - 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 172.82 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 172.82, so we can write it down as 100%=172.82.
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%=172.82
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%=172.82/8.69
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 172.82

100%/x%=172.82/8.69
(100/x)*x=(172.82/8.69)*x       - we multiply both sides of the equation by x
100=19.887226697353*x       - we divide both sides of the equation by (19.887226697353) to get x
100/19.887226697353=x
5.0283531998611=x
x=5.0283531998611

now we have:
8.69 is 5.0283531998611% of 172.82