What is 42.647058823529 percent of 8000 - 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 8000 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 8000 is 100%, so we can write it down as 8000=100%.
4. We know, that x is 42.647058823529% of the output value, so we can write it down as x=42.647058823529%.
5. Now we have two simple equations:
1) 8000=100%
2) x=42.647058823529%
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:
8000/x=100%/42.647058823529%
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 42.647058823529% of 8000

8000/x=100/42.647058823529
(8000/x)*x=(100/42.647058823529)*x       - we multiply both sides of the equation by x
8000=2.3448275862069*x       - we divide both sides of the equation by (2.3448275862069) to get x
8000/2.3448275862069=x
3411.7647058823=x
x=3411.7647058823

now we have:
42.647058823529% of 8000=3411.7647058823