What is 10.48 percent of 464.09 - 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 464.09 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 464.09 is 100%, so we can write it down as 464.09=100%.
4. We know, that x is 10.48% of the output value, so we can write it down as x=10.48%.
5. Now we have two simple equations:
1) 464.09=100%
2) x=10.48%
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:
464.09/x=100%/10.48%
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 10.48% of 464.09

464.09/x=100/10.48
(464.09/x)*x=(100/10.48)*x       - we multiply both sides of the equation by x
464.09=9.5419847328244*x       - we divide both sides of the equation by (9.5419847328244) to get x
464.09/9.5419847328244=x
48.636632=x
x=48.636632

now we have:
10.48% of 464.09=48.636632