11.49 is what percent of 151.73 - 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 151.73 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 151.73, so we can write it down as 100%=151.73.
4. We know, that x% equals 11.49 of the output value, so we can write it down as x%=11.49.
5. Now we have two simple equations:
1) 100%=151.73
2) x%=11.49
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%=151.73/11.49
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 11.49 is what percent of 151.73

100%/x%=151.73/11.49
(100/x)*x=(151.73/11.49)*x       - we multiply both sides of the equation by x
100=13.205395996519*x       - we divide both sides of the equation by (13.205395996519) to get x
100/13.205395996519=x
7.5726619653332=x
x=7.5726619653332

now we have:
11.49 is 7.5726619653332% of 151.73