What is 46.4285714286 percent of 14 - 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 14 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 14 is 100%, so we can write it down as 14=100%.
4. We know, that x is 46.4285714286% of the output value, so we can write it down as x=46.4285714286%.
5. Now we have two simple equations:
1) 14=100%
2) x=46.4285714286%
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:
14/x=100%/46.4285714286%
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 46.4285714286% of 14

14/x=100/46.4285714286
(14/x)*x=(100/46.4285714286)*x       - we multiply both sides of the equation by x
14=2.1538461538448*x       - we divide both sides of the equation by (2.1538461538448) to get x
14/2.1538461538448=x
6.500000000004=x
x=6.500000000004

now we have:
46.4285714286% of 14=6.500000000004