21.24 is what percent of 260.97 - 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 260.97 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 260.97, so we can write it down as 100%=260.97.
4. We know, that x% equals 21.24 of the output value, so we can write it down as x%=21.24.
5. Now we have two simple equations:
1) 100%=260.97
2) x%=21.24
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%=260.97/21.24
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 21.24 is what percent of 260.97

100%/x%=260.97/21.24
(100/x)*x=(260.97/21.24)*x       - we multiply both sides of the equation by x
100=12.286723163842*x       - we divide both sides of the equation by (12.286723163842) to get x
100/12.286723163842=x
8.1388665363835=x
x=8.1388665363835

now we have:
21.24 is 8.1388665363835% of 260.97