What is 7.72 percent of 474.85 - 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 474.85 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 474.85 is 100%, so we can write it down as 474.85=100%.
4. We know, that x is 7.72% of the output value, so we can write it down as x=7.72%.
5. Now we have two simple equations:
1) 474.85=100%
2) x=7.72%
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:
474.85/x=100%/7.72%
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 7.72% of 474.85

474.85/x=100/7.72
(474.85/x)*x=(100/7.72)*x       - we multiply both sides of the equation by x
474.85=12.953367875648*x       - we divide both sides of the equation by (12.953367875648) to get x
474.85/12.953367875648=x
36.65842=x
x=36.65842

now we have:
7.72% of 474.85=36.65842