21.82 is what percent of 1200.8 - 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 1200.8 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 1200.8, so we can write it down as 100%=1200.8.
4. We know, that x% equals 21.82 of the output value, so we can write it down as x%=21.82.
5. Now we have two simple equations:
1) 100%=1200.8
2) x%=21.82
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%=1200.8/21.82
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 21.82 is what percent of 1200.8

100%/x%=1200.8/21.82
(100/x)*x=(1200.8/21.82)*x       - we multiply both sides of the equation by x
100=55.032080659945*x       - we divide both sides of the equation by (55.032080659945) to get x
100/55.032080659945=x
1.8171219187209=x
x=1.8171219187209

now we have:
21.82 is 1.8171219187209% of 1200.8