4.25 is what percent of 46.83 - 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 46.83 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 100% equals 46.83, so we can write it down as 100%=46.83.
4. We know, that x% equals 4.25 of the output value, so we can write it down as x%=4.25.
5. Now we have two simple equations:
1) 100%=46.83
2) x%=4.25
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:
100%/x%=46.83/4.25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 4.25 is what percent of 46.83

100%/x%=46.83/4.25
(100/x)*x=(46.83/4.25)*x       - we multiply both sides of the equation by x
100=11.018823529412*x       - we divide both sides of the equation by (11.018823529412) to get x
100/11.018823529412=x
9.075379030536=x
x=9.075379030536

now we have:
4.25 is 9.075379030536% of 46.83