804.84 is what percent of 3014.4 - 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 3014.4 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 3014.4, so we can write it down as 100%=3014.4.
4. We know, that x% equals 804.84 of the output value, so we can write it down as x%=804.84.
5. Now we have two simple equations:
1) 100%=3014.4
2) x%=804.84
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%=3014.4/804.84
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 804.84 is what percent of 3014.4

100%/x%=3014.4/804.84
(100/x)*x=(3014.4/804.84)*x       - we multiply both sides of the equation by x
100=3.7453406888326*x       - we divide both sides of the equation by (3.7453406888326) to get x
100/3.7453406888326=x
26.699840764331=x
x=26.699840764331

now we have:
804.84 is 26.699840764331% of 3014.4