What is 8.4 percent of 78578 - 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 78578 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 78578 is 100%, so we can write it down as 78578=100%.
4. We know, that x is 8.4% of the output value, so we can write it down as x=8.4%.
5. Now we have two simple equations:
1) 78578=100%
2) x=8.4%
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:
78578/x=100%/8.4%
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 8.4% of 78578

78578/x=100/8.4
(78578/x)*x=(100/8.4)*x       - we multiply both sides of the equation by x
78578=11.904761904762*x       - we divide both sides of the equation by (11.904761904762) to get x
78578/11.904761904762=x
6600.552=x
x=6600.552

now we have:
8.4% of 78578=6600.552