11.48 is what percent of 10.49 - 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 10.49 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 10.49, so we can write it down as 100%=10.49.
4. We know, that x% equals 11.48 of the output value, so we can write it down as x%=11.48.
5. Now we have two simple equations:
1) 100%=10.49
2) x%=11.48
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%=10.49/11.48
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 11.48 is what percent of 10.49

100%/x%=10.49/11.48
(100/x)*x=(10.49/11.48)*x       - we multiply both sides of the equation by x
100=0.91376306620209*x       - we divide both sides of the equation by (0.91376306620209) to get x
100/0.91376306620209=x
109.43755958055=x
x=109.43755958055

now we have:
11.48 is 109.43755958055% of 10.49