166.65 is what percent of 212 - 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 212 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 212, so we can write it down as 100%=212.
4. We know, that x% equals 166.65 of the output value, so we can write it down as x%=166.65.
5. Now we have two simple equations:
1) 100%=212
2) x%=166.65
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%=212/166.65
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 166.65 is what percent of 212

100%/x%=212/166.65
(100/x)*x=(212/166.65)*x       - we multiply both sides of the equation by x
100=1.2721272127213*x       - we divide both sides of the equation by (1.2721272127213) to get x
100/1.2721272127213=x
78.608490566038=x
x=78.608490566038

now we have:
166.65 is 78.608490566038% of 212