365.28 is what percent of 1798.62 - 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 1798.62 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 1798.62, so we can write it down as 100%=1798.62.
4. We know, that x% equals 365.28 of the output value, so we can write it down as x%=365.28.
5. Now we have two simple equations:
1) 100%=1798.62
2) x%=365.28
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%=1798.62/365.28
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 365.28 is what percent of 1798.62

100%/x%=1798.62/365.28
(100/x)*x=(1798.62/365.28)*x       - we multiply both sides of the equation by x
100=4.9239487516426*x       - we divide both sides of the equation by (4.9239487516426) to get x
100/4.9239487516426=x
20.308903492678=x
x=20.308903492678

now we have:
365.28 is 20.308903492678% of 1798.62