What is 10.42 percent of 7578.5 - 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 7578.5 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 7578.5 is 100%, so we can write it down as 7578.5=100%.
4. We know, that x is 10.42% of the output value, so we can write it down as x=10.42%.
5. Now we have two simple equations:
1) 7578.5=100%
2) x=10.42%
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:
7578.5/x=100%/10.42%
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 10.42% of 7578.5

7578.5/x=100/10.42
(7578.5/x)*x=(100/10.42)*x       - we multiply both sides of the equation by x
7578.5=9.5969289827255*x       - we divide both sides of the equation by (9.5969289827255) to get x
7578.5/9.5969289827255=x
789.6797=x
x=789.6797

now we have:
10.42% of 7578.5=789.6797