What is 2.17 percent of 464.56 - 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 464.56 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 464.56 is 100%, so we can write it down as 464.56=100%.
4. We know, that x is 2.17% of the output value, so we can write it down as x=2.17%.
5. Now we have two simple equations:
1) 464.56=100%
2) x=2.17%
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:
464.56/x=100%/2.17%
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 2.17% of 464.56

464.56/x=100/2.17
(464.56/x)*x=(100/2.17)*x       - we multiply both sides of the equation by x
464.56=46.082949308756*x       - we divide both sides of the equation by (46.082949308756) to get x
464.56/46.082949308756=x
10.080952=x
x=10.080952

now we have:
2.17% of 464.56=10.080952