106.48 is what percent of 4368.9 - 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 4368.9 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 4368.9, so we can write it down as 100%=4368.9.
4. We know, that x% equals 106.48 of the output value, so we can write it down as x%=106.48.
5. Now we have two simple equations:
1) 100%=4368.9
2) x%=106.48
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%=4368.9/106.48
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 106.48 is what percent of 4368.9

100%/x%=4368.9/106.48
(100/x)*x=(4368.9/106.48)*x       - we multiply both sides of the equation by x
100=41.030240420736*x       - we divide both sides of the equation by (41.030240420736) to get x
100/41.030240420736=x
2.4372267618851=x
x=2.4372267618851

now we have:
106.48 is 2.4372267618851% of 4368.9