What is 34.75 percent of 46.25 - 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 46.25 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 46.25 is 100%, so we can write it down as 46.25=100%.
4. We know, that x is 34.75% of the output value, so we can write it down as x=34.75%.
5. Now we have two simple equations:
1) 46.25=100%
2) x=34.75%
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:
46.25/x=100%/34.75%
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 34.75% of 46.25

46.25/x=100/34.75
(46.25/x)*x=(100/34.75)*x       - we multiply both sides of the equation by x
46.25=2.8776978417266*x       - we divide both sides of the equation by (2.8776978417266) to get x
46.25/2.8776978417266=x
16.071875=x
x=16.071875

now we have:
34.75% of 46.25=16.071875