304.49 is what percent of 1576.92 - 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 1576.92 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 1576.92, so we can write it down as 100%=1576.92.
4. We know, that x% equals 304.49 of the output value, so we can write it down as x%=304.49.
5. Now we have two simple equations:
1) 100%=1576.92
2) x%=304.49
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%=1576.92/304.49
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 304.49 is what percent of 1576.92

100%/x%=1576.92/304.49
(100/x)*x=(1576.92/304.49)*x       - we multiply both sides of the equation by x
100=5.1788892902887*x       - we divide both sides of the equation by (5.1788892902887) to get x
100/5.1788892902887=x
19.309159627629=x
x=19.309159627629

now we have:
304.49 is 19.309159627629% of 1576.92