9.95 is what percent of 126.55 - 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 126.55 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 126.55, so we can write it down as 100%=126.55.
4. We know, that x% equals 9.95 of the output value, so we can write it down as x%=9.95.
5. Now we have two simple equations:
1) 100%=126.55
2) x%=9.95
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%=126.55/9.95
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 9.95 is what percent of 126.55

100%/x%=126.55/9.95
(100/x)*x=(126.55/9.95)*x       - we multiply both sides of the equation by x
100=12.718592964824*x       - we divide both sides of the equation by (12.718592964824) to get x
100/12.718592964824=x
7.8625049387594=x
x=7.8625049387594

now we have:
9.95 is 7.8625049387594% of 126.55