166.75 is what percent of 366.25 - 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 366.25 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 366.25, so we can write it down as 100%=366.25.
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%=366.25
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%=366.25/166.75
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 366.25

100%/x%=366.25/166.75
(100/x)*x=(366.25/166.75)*x       - we multiply both sides of the equation by x
100=2.1964017991004*x       - we divide both sides of the equation by (2.1964017991004) to get x
100/2.1964017991004=x
45.529010238908=x
x=45.529010238908

now we have:
166.75 is 45.529010238908% of 366.25