8.5 is what percent of 12070 - 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 12070 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 12070, so we can write it down as 100%=12070.
4. We know, that x% equals 8.5 of the output value, so we can write it down as x%=8.5.
5. Now we have two simple equations:
1) 100%=12070
2) x%=8.5
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%=12070/8.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 8.5 is what percent of 12070

100%/x%=12070/8.5
(100/x)*x=(12070/8.5)*x       - we multiply both sides of the equation by x
100=1420*x       - we divide both sides of the equation by (1420) to get x
100/1420=x
0.070422535211268=x
x=0.070422535211268

now we have:
8.5 is 0.070422535211268% of 12070