49 is what percent of 4148 - 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 4148 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 4148, so we can write it down as 100%=4148.
4. We know, that x% equals 49 of the output value, so we can write it down as x%=49.
5. Now we have two simple equations:
1) 100%=4148
2) x%=49
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%=4148/49
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 49 is what percent of 4148

100%/x%=4148/49
(100/x)*x=(4148/49)*x       - we multiply both sides of the equation by x
100=84.65306122449*x       - we divide both sides of the equation by (84.65306122449) to get x
100/84.65306122449=x
1.1812921890068=x
x=1.1812921890068

now we have:
49 is 1.1812921890068% of 4148