81.8 is what percent of 106.7 - 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 106.7 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 106.7, so we can write it down as 100%=106.7.
4. We know, that x% equals 81.8 of the output value, so we can write it down as x%=81.8.
5. Now we have two simple equations:
1) 100%=106.7
2) x%=81.8
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%=106.7/81.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 81.8 is what percent of 106.7

100%/x%=106.7/81.8
(100/x)*x=(106.7/81.8)*x       - we multiply both sides of the equation by x
100=1.3044009779951*x       - we divide both sides of the equation by (1.3044009779951) to get x
100/1.3044009779951=x
76.663542642924=x
x=76.663542642924

now we have:
81.8 is 76.663542642924% of 106.7