9.5 is what percent of 80.5 - 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 80.5 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 80.5, so we can write it down as 100%=80.5.
4. We know, that x% equals 9.5 of the output value, so we can write it down as x%=9.5.
5. Now we have two simple equations:
1) 100%=80.5
2) x%=9.5
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%=80.5/9.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 9.5 is what percent of 80.5

100%/x%=80.5/9.5
(100/x)*x=(80.5/9.5)*x       - we multiply both sides of the equation by x
100=8.4736842105263*x       - we divide both sides of the equation by (8.4736842105263) to get x
100/8.4736842105263=x
11.801242236025=x
x=11.801242236025

now we have:
9.5 is 11.801242236025% of 80.5