What is 46.75 percent of 872.9 - 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 872.9 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 872.9 is 100%, so we can write it down as 872.9=100%.
4. We know, that x is 46.75% of the output value, so we can write it down as x=46.75%.
5. Now we have two simple equations:
1) 872.9=100%
2) x=46.75%
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:
872.9/x=100%/46.75%
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 46.75% of 872.9

872.9/x=100/46.75
(872.9/x)*x=(100/46.75)*x       - we multiply both sides of the equation by x
872.9=2.1390374331551*x       - we divide both sides of the equation by (2.1390374331551) to get x
872.9/2.1390374331551=x
408.08075=x
x=408.08075

now we have:
46.75% of 872.9=408.08075