What is 14 percent of 46400 - 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 46400 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 46400 is 100%, so we can write it down as 46400=100%.
4. We know, that x is 14% of the output value, so we can write it down as x=14%.
5. Now we have two simple equations:
1) 46400=100%
2) x=14%
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:
46400/x=100%/14%
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% of 46400

46400/x=100/14
(46400/x)*x=(100/14)*x       - we multiply both sides of the equation by x
46400=7.1428571428571*x       - we divide both sides of the equation by (7.1428571428571) to get x
46400/7.1428571428571=x
6496=x
x=6496

now we have:
14% of 46400=6496