166.88 is what percent of 1247.48 - 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 1247.48 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 1247.48, so we can write it down as 100%=1247.48.
4. We know, that x% equals 166.88 of the output value, so we can write it down as x%=166.88.
5. Now we have two simple equations:
1) 100%=1247.48
2) x%=166.88
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%=1247.48/166.88
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 166.88 is what percent of 1247.48

100%/x%=1247.48/166.88
(100/x)*x=(1247.48/166.88)*x       - we multiply both sides of the equation by x
100=7.4753116011505*x       - we divide both sides of the equation by (7.4753116011505) to get x
100/7.4753116011505=x
13.377368775451=x
x=13.377368775451

now we have:
166.88 is 13.377368775451% of 1247.48