23.83 is what percent of 496.28 - 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 496.28 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 496.28, so we can write it down as 100%=496.28.
4. We know, that x% equals 23.83 of the output value, so we can write it down as x%=23.83.
5. Now we have two simple equations:
1) 100%=496.28
2) x%=23.83
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%=496.28/23.83
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 23.83 is what percent of 496.28

100%/x%=496.28/23.83
(100/x)*x=(496.28/23.83)*x       - we multiply both sides of the equation by x
100=20.825849769198*x       - we divide both sides of the equation by (20.825849769198) to get x
100/20.825849769198=x
4.8017248327557=x
x=4.8017248327557

now we have:
23.83 is 4.8017248327557% of 496.28