11.48 is what percent of 15.53 - 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 15.53 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 15.53, so we can write it down as 100%=15.53.
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%=15.53
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%=15.53/11.48
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 15.53

100%/x%=15.53/11.48
(100/x)*x=(15.53/11.48)*x       - we multiply both sides of the equation by x
100=1.352787456446*x       - we divide both sides of the equation by (1.352787456446) to get x
100/1.352787456446=x
73.921442369607=x
x=73.921442369607

now we have:
11.48 is 73.921442369607% of 15.53