What is 7.75 percent of 419.46 - 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 419.46 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 419.46 is 100%, so we can write it down as 419.46=100%.
4. We know, that x is 7.75% of the output value, so we can write it down as x=7.75%.
5. Now we have two simple equations:
1) 419.46=100%
2) x=7.75%
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:
419.46/x=100%/7.75%
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 7.75% of 419.46

419.46/x=100/7.75
(419.46/x)*x=(100/7.75)*x       - we multiply both sides of the equation by x
419.46=12.903225806452*x       - we divide both sides of the equation by (12.903225806452) to get x
419.46/12.903225806452=x
32.50815=x
x=32.50815

now we have:
7.75% of 419.46=32.50815