What is 14.8 percent of 4640 - 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 4640 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 4640 is 100%, so we can write it down as 4640=100%.
4. We know, that x is 14.8% of the output value, so we can write it down as x=14.8%.
5. Now we have two simple equations:
1) 4640=100%
2) x=14.8%
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:
4640/x=100%/14.8%
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 14.8% of 4640

4640/x=100/14.8
(4640/x)*x=(100/14.8)*x       - we multiply both sides of the equation by x
4640=6.7567567567568*x       - we divide both sides of the equation by (6.7567567567568) to get x
4640/6.7567567567568=x
686.72=x
x=686.72

now we have:
14.8% of 4640=686.72