21.03 is what percent of 98.95 - 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 98.95 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 98.95, so we can write it down as 100%=98.95.
4. We know, that x% equals 21.03 of the output value, so we can write it down as x%=21.03.
5. Now we have two simple equations:
1) 100%=98.95
2) x%=21.03
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%=98.95/21.03
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 21.03 is what percent of 98.95

100%/x%=98.95/21.03
(100/x)*x=(98.95/21.03)*x       - we multiply both sides of the equation by x
100=4.7051830718022*x       - we divide both sides of the equation by (4.7051830718022) to get x
100/4.7051830718022=x
21.253158160687=x
x=21.253158160687

now we have:
21.03 is 21.253158160687% of 98.95