11.3 is what percent of 152 - 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 152 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 152, so we can write it down as 100%=152.
4. We know, that x% equals 11.3 of the output value, so we can write it down as x%=11.3.
5. Now we have two simple equations:
1) 100%=152
2) x%=11.3
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%=152/11.3
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 11.3 is what percent of 152

100%/x%=152/11.3
(100/x)*x=(152/11.3)*x       - we multiply both sides of the equation by x
100=13.451327433628*x       - we divide both sides of the equation by (13.451327433628) to get x
100/13.451327433628=x
7.4342105263158=x
x=7.4342105263158

now we have:
11.3 is 7.4342105263158% of 152