21.99 is what percent of 255.38 - 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 255.38 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 255.38, so we can write it down as 100%=255.38.
4. We know, that x% equals 21.99 of the output value, so we can write it down as x%=21.99.
5. Now we have two simple equations:
1) 100%=255.38
2) x%=21.99
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%=255.38/21.99
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 21.99 is what percent of 255.38

100%/x%=255.38/21.99
(100/x)*x=(255.38/21.99)*x       - we multiply both sides of the equation by x
100=11.613460663938*x       - we divide both sides of the equation by (11.613460663938) to get x
100/11.613460663938=x
8.6106977836949=x
x=8.6106977836949

now we have:
21.99 is 8.6106977836949% of 255.38