82.7 is what percent of 121.7 - 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 121.7 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 121.7, so we can write it down as 100%=121.7.
4. We know, that x% equals 82.7 of the output value, so we can write it down as x%=82.7.
5. Now we have two simple equations:
1) 100%=121.7
2) x%=82.7
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%=121.7/82.7
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 82.7 is what percent of 121.7

100%/x%=121.7/82.7
(100/x)*x=(121.7/82.7)*x       - we multiply both sides of the equation by x
100=1.4715840386941*x       - we divide both sides of the equation by (1.4715840386941) to get x
100/1.4715840386941=x
67.953985209532=x
x=67.953985209532

now we have:
82.7 is 67.953985209532% of 121.7