What is 38.6 percent of 960.57 - 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 960.57 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 960.57 is 100%, so we can write it down as 960.57=100%.
4. We know, that x is 38.6% of the output value, so we can write it down as x=38.6%.
5. Now we have two simple equations:
1) 960.57=100%
2) x=38.6%
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:
960.57/x=100%/38.6%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 38.6% of 960.57

960.57/x=100/38.6
(960.57/x)*x=(100/38.6)*x       - we multiply both sides of the equation by x
960.57=2.5906735751295*x       - we divide both sides of the equation by (2.5906735751295) to get x
960.57/2.5906735751295=x
370.78002=x
x=370.78002

now we have:
38.6% of 960.57=370.78002