166.75 is what percent of 667 - 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 667 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 667, so we can write it down as 100%=667.
4. We know, that x% equals 166.75 of the output value, so we can write it down as x%=166.75.
5. Now we have two simple equations:
1) 100%=667
2) x%=166.75
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%=667/166.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 166.75 is what percent of 667

100%/x%=667/166.75
(100/x)*x=(667/166.75)*x       - we multiply both sides of the equation by x
100=4*x       - we divide both sides of the equation by (4) to get x
100/4=x
25=x
x=25

now we have:
166.75 is 25% of 667