166.81 is what percent of 197.35 - 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 197.35 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 197.35, so we can write it down as 100%=197.35.
4. We know, that x% equals 166.81 of the output value, so we can write it down as x%=166.81.
5. Now we have two simple equations:
1) 100%=197.35
2) x%=166.81
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%=197.35/166.81
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 166.81 is what percent of 197.35

100%/x%=197.35/166.81
(100/x)*x=(197.35/166.81)*x       - we multiply both sides of the equation by x
100=1.1830825490079*x       - we divide both sides of the equation by (1.1830825490079) to get x
100/1.1830825490079=x
84.524955662529=x
x=84.524955662529

now we have:
166.81 is 84.524955662529% of 197.35