166.67 is what percent of 1256.67 - 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 1256.67 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 1256.67, so we can write it down as 100%=1256.67.
4. We know, that x% equals 166.67 of the output value, so we can write it down as x%=166.67.
5. Now we have two simple equations:
1) 100%=1256.67
2) x%=166.67
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%=1256.67/166.67
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 166.67 is what percent of 1256.67

100%/x%=1256.67/166.67
(100/x)*x=(1256.67/166.67)*x       - we multiply both sides of the equation by x
100=7.5398692026159*x       - we divide both sides of the equation by (7.5398692026159) to get x
100/7.5398692026159=x
13.262829541566=x
x=13.262829541566

now we have:
166.67 is 13.262829541566% of 1256.67