166.1 is what percent of 176 - 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 176 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 176, so we can write it down as 100%=176.
4. We know, that x% equals 166.1 of the output value, so we can write it down as x%=166.1.
5. Now we have two simple equations:
1) 100%=176
2) x%=166.1
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%=176/166.1
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 166.1 is what percent of 176

100%/x%=176/166.1
(100/x)*x=(176/166.1)*x       - we multiply both sides of the equation by x
100=1.0596026490066*x       - we divide both sides of the equation by (1.0596026490066) to get x
100/1.0596026490066=x
94.375=x
x=94.375

now we have:
166.1 is 94.375% of 176