200.44 is what percent of 800.44 - 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 800.44 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 800.44, so we can write it down as 100%=800.44.
4. We know, that x% equals 200.44 of the output value, so we can write it down as x%=200.44.
5. Now we have two simple equations:
1) 100%=800.44
2) x%=200.44
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%=800.44/200.44
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 200.44 is what percent of 800.44

100%/x%=800.44/200.44
(100/x)*x=(800.44/200.44)*x       - we multiply both sides of the equation by x
100=3.9934144881261*x       - we divide both sides of the equation by (3.9934144881261) to get x
100/3.9934144881261=x
25.041227324971=x
x=25.041227324971

now we have:
200.44 is 25.041227324971% of 800.44