10.96 is what percent of 10.26 - 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 10.26 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 10.26, so we can write it down as 100%=10.26.
4. We know, that x% equals 10.96 of the output value, so we can write it down as x%=10.96.
5. Now we have two simple equations:
1) 100%=10.26
2) x%=10.96
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%=10.26/10.96
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 10.96 is what percent of 10.26

100%/x%=10.26/10.96
(100/x)*x=(10.26/10.96)*x       - we multiply both sides of the equation by x
100=0.93613138686131*x       - we divide both sides of the equation by (0.93613138686131) to get x
100/0.93613138686131=x
106.82261208577=x
x=106.82261208577

now we have:
10.96 is 106.82261208577% of 10.26