What is 34.82 percent of 46.71 - 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 46.71 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 46.71 is 100%, so we can write it down as 46.71=100%.
4. We know, that x is 34.82% of the output value, so we can write it down as x=34.82%.
5. Now we have two simple equations:
1) 46.71=100%
2) x=34.82%
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:
46.71/x=100%/34.82%
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 34.82% of 46.71

46.71/x=100/34.82
(46.71/x)*x=(100/34.82)*x       - we multiply both sides of the equation by x
46.71=2.8719126938541*x       - we divide both sides of the equation by (2.8719126938541) to get x
46.71/2.8719126938541=x
16.264422=x
x=16.264422

now we have:
34.82% of 46.71=16.264422