166.85 is what percent of 213 - 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 213 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 213, so we can write it down as 100%=213.
4. We know, that x% equals 166.85 of the output value, so we can write it down as x%=166.85.
5. Now we have two simple equations:
1) 100%=213
2) x%=166.85
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%=213/166.85
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 166.85 is what percent of 213

100%/x%=213/166.85
(100/x)*x=(213/166.85)*x       - we multiply both sides of the equation by x
100=1.2765957446809*x       - we divide both sides of the equation by (1.2765957446809) to get x
100/1.2765957446809=x
78.333333333333=x
x=78.333333333333

now we have:
166.85 is 78.333333333333% of 213