What is 42.06 percent of 8800 - 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 8800 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 8800 is 100%, so we can write it down as 8800=100%.
4. We know, that x is 42.06% of the output value, so we can write it down as x=42.06%.
5. Now we have two simple equations:
1) 8800=100%
2) x=42.06%
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:
8800/x=100%/42.06%
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 42.06% of 8800

8800/x=100/42.06
(8800/x)*x=(100/42.06)*x       - we multiply both sides of the equation by x
8800=2.377555872563*x       - we divide both sides of the equation by (2.377555872563) to get x
8800/2.377555872563=x
3701.28=x
x=3701.28

now we have:
42.06% of 8800=3701.28