What is 46.42857142857 percent of 12.7 - 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 12.7 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 12.7 is 100%, so we can write it down as 12.7=100%.
4. We know, that x is 46.42857142857% of the output value, so we can write it down as x=46.42857142857%.
5. Now we have two simple equations:
1) 12.7=100%
2) x=46.42857142857%
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:
12.7/x=100%/46.42857142857%
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 46.42857142857% of 12.7

12.7/x=100/46.42857142857
(12.7/x)*x=(100/46.42857142857)*x       - we multiply both sides of the equation by x
12.7=2.1538461538462*x       - we divide both sides of the equation by (2.1538461538462) to get x
12.7/2.1538461538462=x
5.8964285714284=x
x=5.8964285714284

now we have:
46.42857142857% of 12.7=5.8964285714284