What is 1.925 percent of 496 - 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 496 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 496 is 100%, so we can write it down as 496=100%.
4. We know, that x is 1.925% of the output value, so we can write it down as x=1.925%.
5. Now we have two simple equations:
1) 496=100%
2) x=1.925%
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:
496/x=100%/1.925%
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 1.925% of 496

496/x=100/1.925
(496/x)*x=(100/1.925)*x       - we multiply both sides of the equation by x
496=51.948051948052*x       - we divide both sides of the equation by (51.948051948052) to get x
496/51.948051948052=x
9.548=x
x=9.548

now we have:
1.925% of 496=9.548