0.97 is what percent of 9.5 - 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 9.5 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 9.5, so we can write it down as 100%=9.5.
4. We know, that x% equals 0.97 of the output value, so we can write it down as x%=0.97.
5. Now we have two simple equations:
1) 100%=9.5
2) x%=0.97
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%=9.5/0.97
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 0.97 is what percent of 9.5

100%/x%=9.5/0.97
(100/x)*x=(9.5/0.97)*x       - we multiply both sides of the equation by x
100=9.7938144329897*x       - we divide both sides of the equation by (9.7938144329897) to get x
100/9.7938144329897=x
10.210526315789=x
x=10.210526315789

now we have:
0.97 is 10.210526315789% of 9.5