What is 37.01 percent of 482.88 - 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 482.88 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 482.88 is 100%, so we can write it down as 482.88=100%.
4. We know, that x is 37.01% of the output value, so we can write it down as x=37.01%.
5. Now we have two simple equations:
1) 482.88=100%
2) x=37.01%
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:
482.88/x=100%/37.01%
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 37.01% of 482.88

482.88/x=100/37.01
(482.88/x)*x=(100/37.01)*x       - we multiply both sides of the equation by x
482.88=2.7019724398811*x       - we divide both sides of the equation by (2.7019724398811) to get x
482.88/2.7019724398811=x
178.713888=x
x=178.713888

now we have:
37.01% of 482.88=178.713888