21.47 is what percent of 280.7 - 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 280.7 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 280.7, so we can write it down as 100%=280.7.
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%=280.7
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%=280.7/21.47
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 280.7

100%/x%=280.7/21.47
(100/x)*x=(280.7/21.47)*x       - we multiply both sides of the equation by x
100=13.074056823475*x       - we divide both sides of the equation by (13.074056823475) to get x
100/13.074056823475=x
7.6487353045957=x
x=7.6487353045957

now we have:
21.47 is 7.6487353045957% of 280.7