82.31 is what percent of 98.41 - 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 98.41 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 98.41, so we can write it down as 100%=98.41.
4. We know, that x% equals 82.31 of the output value, so we can write it down as x%=82.31.
5. Now we have two simple equations:
1) 100%=98.41
2) x%=82.31
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%=98.41/82.31
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 82.31 is what percent of 98.41

100%/x%=98.41/82.31
(100/x)*x=(98.41/82.31)*x       - we multiply both sides of the equation by x
100=1.1956019924675*x       - we divide both sides of the equation by (1.1956019924675) to get x
100/1.1956019924675=x
83.639873996545=x
x=83.639873996545

now we have:
82.31 is 83.639873996545% of 98.41