305.1 is what percent of 395.1 - 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 395.1 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 395.1, so we can write it down as 100%=395.1.
4. We know, that x% equals 305.1 of the output value, so we can write it down as x%=305.1.
5. Now we have two simple equations:
1) 100%=395.1
2) x%=305.1
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%=395.1/305.1
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 305.1 is what percent of 395.1

100%/x%=395.1/305.1
(100/x)*x=(395.1/305.1)*x       - we multiply both sides of the equation by x
100=1.2949852507375*x       - we divide both sides of the equation by (1.2949852507375) to get x
100/1.2949852507375=x
77.220956719818=x
x=77.220956719818

now we have:
305.1 is 77.220956719818% of 395.1