10.95 is what percent of 7.97 - 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 7.97 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 7.97, so we can write it down as 100%=7.97.
4. We know, that x% equals 10.95 of the output value, so we can write it down as x%=10.95.
5. Now we have two simple equations:
1) 100%=7.97
2) x%=10.95
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%=7.97/10.95
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 10.95 is what percent of 7.97

100%/x%=7.97/10.95
(100/x)*x=(7.97/10.95)*x       - we multiply both sides of the equation by x
100=0.72785388127854*x       - we divide both sides of the equation by (0.72785388127854) to get x
100/0.72785388127854=x
137.39021329987=x
x=137.39021329987

now we have:
10.95 is 137.39021329987% of 7.97