What is 8.577 percent of 350 - 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 350 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 350 is 100%, so we can write it down as 350=100%.
4. We know, that x is 8.577% of the output value, so we can write it down as x=8.577%.
5. Now we have two simple equations:
1) 350=100%
2) x=8.577%
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:
350/x=100%/8.577%
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 8.577% of 350

350/x=100/8.577
(350/x)*x=(100/8.577)*x       - we multiply both sides of the equation by x
350=11.659088259298*x       - we divide both sides of the equation by (11.659088259298) to get x
350/11.659088259298=x
30.0195=x
x=30.0195

now we have:
8.577% of 350=30.0195