1738.16 is what percent of 11387.16 - 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 11387.16 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 11387.16, so we can write it down as 100%=11387.16.
4. We know, that x% equals 1738.16 of the output value, so we can write it down as x%=1738.16.
5. Now we have two simple equations:
1) 100%=11387.16
2) x%=1738.16
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%=11387.16/1738.16
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1738.16 is what percent of 11387.16

100%/x%=11387.16/1738.16
(100/x)*x=(11387.16/1738.16)*x       - we multiply both sides of the equation by x
100=6.5512726101164*x       - we divide both sides of the equation by (6.5512726101164) to get x
100/6.5512726101164=x
15.264209864444=x
x=15.264209864444

now we have:
1738.16 is 15.264209864444% of 11387.16