370.75 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 370.75 of the output value, so we can write it down as x%=370.75.
5. Now we have two simple equations:
1) 100%=395
2) x%=370.75
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%=395/370.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 370.75 is what percent of 395

100%/x%=395/370.75
(100/x)*x=(395/370.75)*x       - we multiply both sides of the equation by x
100=1.0654079568442*x       - we divide both sides of the equation by (1.0654079568442) to get x
100/1.0654079568442=x
93.860759493671=x
x=93.860759493671

now we have:
370.75 is 93.860759493671% of 395