304.15 is what percent of 410.05 - 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 410.05 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 410.05, so we can write it down as 100%=410.05.
4. We know, that x% equals 304.15 of the output value, so we can write it down as x%=304.15.
5. Now we have two simple equations:
1) 100%=410.05
2) x%=304.15
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%=410.05/304.15
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 304.15 is what percent of 410.05

100%/x%=410.05/304.15
(100/x)*x=(410.05/304.15)*x       - we multiply both sides of the equation by x
100=1.3481834621075*x       - we divide both sides of the equation by (1.3481834621075) to get x
100/1.3481834621075=x
74.173881233996=x
x=74.173881233996

now we have:
304.15 is 74.173881233996% of 410.05