What is 40.75 percent of 370 - 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 370 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 370 is 100%, so we can write it down as 370=100%.
4. We know, that x is 40.75% of the output value, so we can write it down as x=40.75%.
5. Now we have two simple equations:
1) 370=100%
2) x=40.75%
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:
370/x=100%/40.75%
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 40.75% of 370

370/x=100/40.75
(370/x)*x=(100/40.75)*x       - we multiply both sides of the equation by x
370=2.4539877300613*x       - we divide both sides of the equation by (2.4539877300613) to get x
370/2.4539877300613=x
150.775=x
x=150.775

now we have:
40.75% of 370=150.775