4.95 is what percent of 12.53 - 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 12.53 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 12.53, so we can write it down as 100%=12.53.
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%=12.53
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%=12.53/4.95
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 12.53

100%/x%=12.53/4.95
(100/x)*x=(12.53/4.95)*x       - we multiply both sides of the equation by x
100=2.5313131313131*x       - we divide both sides of the equation by (2.5313131313131) to get x
100/2.5313131313131=x
39.50518754988=x
x=39.50518754988

now we have:
4.95 is 39.50518754988% of 12.53