What is 104.2 percent of 6514.58 - 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 6514.58 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 6514.58 is 100%, so we can write it down as 6514.58=100%.
4. We know, that x is 104.2% of the output value, so we can write it down as x=104.2%.
5. Now we have two simple equations:
1) 6514.58=100%
2) x=104.2%
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:
6514.58/x=100%/104.2%
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 104.2% of 6514.58

6514.58/x=100/104.2
(6514.58/x)*x=(100/104.2)*x       - we multiply both sides of the equation by x
6514.58=0.95969289827255*x       - we divide both sides of the equation by (0.95969289827255) to get x
6514.58/0.95969289827255=x
6788.19236=x
x=6788.19236

now we have:
104.2% of 6514.58=6788.19236