21.47 is what percent of 98.15 - 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 98.15 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 98.15, so we can write it down as 100%=98.15.
4. We know, that x% equals 21.47 of the output value, so we can write it down as x%=21.47.
5. Now we have two simple equations:
1) 100%=98.15
2) x%=21.47
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%=98.15/21.47
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 21.47 is what percent of 98.15

100%/x%=98.15/21.47
(100/x)*x=(98.15/21.47)*x       - we multiply both sides of the equation by x
100=4.5714951094551*x       - we divide both sides of the equation by (4.5714951094551) to get x
100/4.5714951094551=x
21.874681609781=x
x=21.874681609781

now we have:
21.47 is 21.874681609781% of 98.15