What is 42800 percent of 7.4 - 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 7.4 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 7.4 is 100%, so we can write it down as 7.4=100%.
4. We know, that x is 42800% of the output value, so we can write it down as x=42800%.
5. Now we have two simple equations:
1) 7.4=100%
2) x=42800%
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:
7.4/x=100%/42800%
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 42800% of 7.4

7.4/x=100/42800
(7.4/x)*x=(100/42800)*x       - we multiply both sides of the equation by x
7.4=0.0023364485981308*x       - we divide both sides of the equation by (0.0023364485981308) to get x
7.4/0.0023364485981308=x
3167.2=x
x=3167.2

now we have:
42800% of 7.4=3167.2