98463.48 is what percent of 100021.08 - 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 100021.08 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 100021.08, so we can write it down as 100%=100021.08.
4. We know, that x% equals 98463.48 of the output value, so we can write it down as x%=98463.48.
5. Now we have two simple equations:
1) 100%=100021.08
2) x%=98463.48
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%=100021.08/98463.48
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 98463.48 is what percent of 100021.08

100%/x%=100021.08/98463.48
(100/x)*x=(100021.08/98463.48)*x       - we multiply both sides of the equation by x
100=1.0158190630679*x       - we divide both sides of the equation by (1.0158190630679) to get x
100/1.0158190630679=x
98.44272827288=x
x=98.44272827288

now we have:
98463.48 is 98.44272827288% of 100021.08