166.8 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 166.8 of the output value, so we can write it down as x%=166.8.
5. Now we have two simple equations:
1) 100%=212
2) x%=166.8
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%=212/166.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 166.8 is what percent of 212

100%/x%=212/166.8
(100/x)*x=(212/166.8)*x       - we multiply both sides of the equation by x
100=1.2709832134293*x       - we divide both sides of the equation by (1.2709832134293) to get x
100/1.2709832134293=x
78.679245283019=x
x=78.679245283019

now we have:
166.8 is 78.679245283019% of 212