What is 40.85 percent of 388.75 - 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 388.75 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 388.75 is 100%, so we can write it down as 388.75=100%.
4. We know, that x is 40.85% of the output value, so we can write it down as x=40.85%.
5. Now we have two simple equations:
1) 388.75=100%
2) x=40.85%
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:
388.75/x=100%/40.85%
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 40.85% of 388.75

388.75/x=100/40.85
(388.75/x)*x=(100/40.85)*x       - we multiply both sides of the equation by x
388.75=2.4479804161567*x       - we divide both sides of the equation by (2.4479804161567) to get x
388.75/2.4479804161567=x
158.804375=x
x=158.804375

now we have:
40.85% of 388.75=158.804375