21.4 is what percent of 255.4 - 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 255.4 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 255.4, so we can write it down as 100%=255.4.
4. We know, that x% equals 21.4 of the output value, so we can write it down as x%=21.4.
5. Now we have two simple equations:
1) 100%=255.4
2) x%=21.4
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%=255.4/21.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 21.4 is what percent of 255.4

100%/x%=255.4/21.4
(100/x)*x=(255.4/21.4)*x       - we multiply both sides of the equation by x
100=11.934579439252*x       - we divide both sides of the equation by (11.934579439252) to get x
100/11.934579439252=x
8.3790133124511=x
x=8.3790133124511

now we have:
21.4 is 8.3790133124511% of 255.4