83.84 is what percent of 102.49 - 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 102.49 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 102.49, so we can write it down as 100%=102.49.
4. We know, that x% equals 83.84 of the output value, so we can write it down as x%=83.84.
5. Now we have two simple equations:
1) 100%=102.49
2) x%=83.84
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%=102.49/83.84
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 83.84 is what percent of 102.49

100%/x%=102.49/83.84
(100/x)*x=(102.49/83.84)*x       - we multiply both sides of the equation by x
100=1.222447519084*x       - we divide both sides of the equation by (1.222447519084) to get x
100/1.222447519084=x
81.803102741731=x
x=81.803102741731

now we have:
83.84 is 81.803102741731% of 102.49