111.73 is what percent of 171.73 - 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 171.73 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 171.73, so we can write it down as 100%=171.73.
4. We know, that x% equals 111.73 of the output value, so we can write it down as x%=111.73.
5. Now we have two simple equations:
1) 100%=171.73
2) x%=111.73
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%=171.73/111.73
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 111.73 is what percent of 171.73

100%/x%=171.73/111.73
(100/x)*x=(171.73/111.73)*x       - we multiply both sides of the equation by x
100=1.5370088606462*x       - we divide both sides of the equation by (1.5370088606462) to get x
100/1.5370088606462=x
65.061433645839=x
x=65.061433645839

now we have:
111.73 is 65.061433645839% of 171.73