4.95 is what percent of 4.86 - 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 4.86 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 4.86, so we can write it down as 100%=4.86.
4. We know, that x% equals 4.95 of the output value, so we can write it down as x%=4.95.
5. Now we have two simple equations:
1) 100%=4.86
2) x%=4.95
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%=4.86/4.95
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 4.95 is what percent of 4.86

100%/x%=4.86/4.95
(100/x)*x=(4.86/4.95)*x       - we multiply both sides of the equation by x
100=0.98181818181818*x       - we divide both sides of the equation by (0.98181818181818) to get x
100/0.98181818181818=x
101.85185185185=x
x=101.85185185185

now we have:
4.95 is 101.85185185185% of 4.86