4.82 is what percent of 4.92 - 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 4.92 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 4.92, so we can write it down as 100%=4.92.
4. We know, that x% equals 4.82 of the output value, so we can write it down as x%=4.82.
5. Now we have two simple equations:
1) 100%=4.92
2) x%=4.82
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%=4.92/4.82
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 4.82 is what percent of 4.92

100%/x%=4.92/4.82
(100/x)*x=(4.92/4.82)*x       - we multiply both sides of the equation by x
100=1.0207468879668*x       - we divide both sides of the equation by (1.0207468879668) to get x
100/1.0207468879668=x
97.967479674797=x
x=97.967479674797

now we have:
4.82 is 97.967479674797% of 4.92