11.28 is what percent of 147.49 - 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 147.49 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 147.49, so we can write it down as 100%=147.49.
4. We know, that x% equals 11.28 of the output value, so we can write it down as x%=11.28.
5. Now we have two simple equations:
1) 100%=147.49
2) x%=11.28
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%=147.49/11.28
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 11.28 is what percent of 147.49

100%/x%=147.49/11.28
(100/x)*x=(147.49/11.28)*x       - we multiply both sides of the equation by x
100=13.075354609929*x       - we divide both sides of the equation by (13.075354609929) to get x
100/13.075354609929=x
7.6479761339752=x
x=7.6479761339752

now we have:
11.28 is 7.6479761339752% of 147.49