404.75 is what percent of 1544.24 - 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 1544.24 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 1544.24, so we can write it down as 100%=1544.24.
4. We know, that x% equals 404.75 of the output value, so we can write it down as x%=404.75.
5. Now we have two simple equations:
1) 100%=1544.24
2) x%=404.75
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%=1544.24/404.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 404.75 is what percent of 1544.24

100%/x%=1544.24/404.75
(100/x)*x=(1544.24/404.75)*x       - we multiply both sides of the equation by x
100=3.8152933909821*x       - we divide both sides of the equation by (3.8152933909821) to get x
100/3.8152933909821=x
26.210304097809=x
x=26.210304097809

now we have:
404.75 is 26.210304097809% of 1544.24