9 is what percent of 67.77 - 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 67.77 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 67.77, so we can write it down as 100%=67.77.
4. We know, that x% equals 9 of the output value, so we can write it down as x%=9.
5. Now we have two simple equations:
1) 100%=67.77
2) x%=9
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%=67.77/9
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 9 is what percent of 67.77

100%/x%=67.77/9
(100/x)*x=(67.77/9)*x       - we multiply both sides of the equation by x
100=7.53*x       - we divide both sides of the equation by (7.53) to get x
100/7.53=x
13.2802124834=x
x=13.2802124834

now we have:
9 is 13.2802124834% of 67.77