0.11 is what percent of 98.75 - 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 98.75 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 98.75, so we can write it down as 100%=98.75.
4. We know, that x% equals 0.11 of the output value, so we can write it down as x%=0.11.
5. Now we have two simple equations:
1) 100%=98.75
2) x%=0.11
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%=98.75/0.11
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 0.11 is what percent of 98.75

100%/x%=98.75/0.11
(100/x)*x=(98.75/0.11)*x       - we multiply both sides of the equation by x
100=897.72727272727*x       - we divide both sides of the equation by (897.72727272727) to get x
100/897.72727272727=x
0.11139240506329=x
x=0.11139240506329

now we have:
0.11 is 0.11139240506329% of 98.75