11.5 is what percent of 173.74 - 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 173.74 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 173.74, so we can write it down as 100%=173.74.
4. We know, that x% equals 11.5 of the output value, so we can write it down as x%=11.5.
5. Now we have two simple equations:
1) 100%=173.74
2) x%=11.5
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%=173.74/11.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 11.5 is what percent of 173.74

100%/x%=173.74/11.5
(100/x)*x=(173.74/11.5)*x       - we multiply both sides of the equation by x
100=15.107826086957*x       - we divide both sides of the equation by (15.107826086957) to get x
100/15.107826086957=x
6.6190859905606=x
x=6.6190859905606

now we have:
11.5 is 6.6190859905606% of 173.74