166.67 is what percent of 1500 - 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 1500 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 1500, so we can write it down as 100%=1500.
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%=1500
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%=1500/166.67
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 1500

100%/x%=1500/166.67
(100/x)*x=(1500/166.67)*x       - we multiply both sides of the equation by x
100=8.9998200035999*x       - we divide both sides of the equation by (8.9998200035999) to get x
100/8.9998200035999=x
11.111333333333=x
x=11.111333333333

now we have:
166.67 is 11.111333333333% of 1500