379.6 is what percent of 395 - 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 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, so we can write it down as 100%=395.
4. We know, that x% equals 379.6 of the output value, so we can write it down as x%=379.6.
5. Now we have two simple equations:
1) 100%=395
2) x%=379.6
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%=395/379.6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 379.6 is what percent of 395

100%/x%=395/379.6
(100/x)*x=(395/379.6)*x       - we multiply both sides of the equation by x
100=1.0405690200211*x       - we divide both sides of the equation by (1.0405690200211) to get x
100/1.0405690200211=x
96.101265822785=x
x=96.101265822785

now we have:
379.6 is 96.101265822785% of 395