What is 40.38 percent of 7023.46 - 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 7023.46 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 7023.46 is 100%, so we can write it down as 7023.46=100%.
4. We know, that x is 40.38% of the output value, so we can write it down as x=40.38%.
5. Now we have two simple equations:
1) 7023.46=100%
2) x=40.38%
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:
7023.46/x=100%/40.38%
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 40.38% of 7023.46

7023.46/x=100/40.38
(7023.46/x)*x=(100/40.38)*x       - we multiply both sides of the equation by x
7023.46=2.4764735017335*x       - we divide both sides of the equation by (2.4764735017335) to get x
7023.46/2.4764735017335=x
2836.073148=x
x=2836.073148

now we have:
40.38% of 7023.46=2836.073148