166.5 is what percent of 401 - 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 401 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 401, so we can write it down as 100%=401.
4. We know, that x% equals 166.5 of the output value, so we can write it down as x%=166.5.
5. Now we have two simple equations:
1) 100%=401
2) x%=166.5
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%=401/166.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 166.5 is what percent of 401

100%/x%=401/166.5
(100/x)*x=(401/166.5)*x       - we multiply both sides of the equation by x
100=2.4084084084084*x       - we divide both sides of the equation by (2.4084084084084) to get x
100/2.4084084084084=x
41.521197007481=x
x=41.521197007481

now we have:
166.5 is 41.521197007481% of 401