11.38 is what percent of 748.69 - 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 748.69 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 748.69, so we can write it down as 100%=748.69.
4. We know, that x% equals 11.38 of the output value, so we can write it down as x%=11.38.
5. Now we have two simple equations:
1) 100%=748.69
2) x%=11.38
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%=748.69/11.38
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 11.38 is what percent of 748.69

100%/x%=748.69/11.38
(100/x)*x=(748.69/11.38)*x       - we multiply both sides of the equation by x
100=65.789982425308*x       - we divide both sides of the equation by (65.789982425308) to get x
100/65.789982425308=x
1.5199882461366=x
x=1.5199882461366

now we have:
11.38 is 1.5199882461366% of 748.69