158.1 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 158.1 of the output value, so we can write it down as x%=158.1.
5. Now we have two simple equations:
1) 100%=395
2) x%=158.1
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%=395/158.1
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 158.1 is what percent of 395

100%/x%=395/158.1
(100/x)*x=(395/158.1)*x       - we multiply both sides of the equation by x
100=2.4984187223276*x       - we divide both sides of the equation by (2.4984187223276) to get x
100/2.4984187223276=x
40.025316455696=x
x=40.025316455696

now we have:
158.1 is 40.025316455696% of 395