What is 9.8 percent of 46.78 - 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 46.78 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 46.78 is 100%, so we can write it down as 46.78=100%.
4. We know, that x is 9.8% of the output value, so we can write it down as x=9.8%.
5. Now we have two simple equations:
1) 46.78=100%
2) x=9.8%
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:
46.78/x=100%/9.8%
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 9.8% of 46.78

46.78/x=100/9.8
(46.78/x)*x=(100/9.8)*x       - we multiply both sides of the equation by x
46.78=10.204081632653*x       - we divide both sides of the equation by (10.204081632653) to get x
46.78/10.204081632653=x
4.58444=x
x=4.58444

now we have:
9.8% of 46.78=4.58444