1304.2 is what percent of 5795 - 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 5795 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 5795, so we can write it down as 100%=5795.
4. We know, that x% equals 1304.2 of the output value, so we can write it down as x%=1304.2.
5. Now we have two simple equations:
1) 100%=5795
2) x%=1304.2
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%=5795/1304.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1304.2 is what percent of 5795

100%/x%=5795/1304.2
(100/x)*x=(5795/1304.2)*x       - we multiply both sides of the equation by x
100=4.4433369115166*x       - we divide both sides of the equation by (4.4433369115166) to get x
100/4.4433369115166=x
22.505608283003=x
x=22.505608283003

now we have:
1304.2 is 22.505608283003% of 5795