I am going to assume that position is an actual contract position (1090) and not a 'contractor' W-2.
What do you not have as a contractor.
1st, no vacation days, or sick days. Assuming you/your family members are sick an average amount per year. Assuming you like vacations and take 2 weeks of vacation a year + federal holidays that you are no longer paid for that's about 15-20 working days pay you are missisng out on so about 160 hours or so 1920 hours a year @ 48 an hour is 92k. Already you are making less, to be honest even you worked 5 days a week, 52 weeks a year, you still wouldn't make 110K. But we are missing out on some stuff.
Lets talk about costs:
This depends but if it were me, my employer would no longer be paying healthcare for my family so that's about 800 a month, or 9600 a year. Dental, that's 360 a year for 1 person. Vision that's 150 a year, life insurance that's 200 a year. These are post tax dollars, so lets bump that up by 15% so 12k right there...
Retirement? You no longer have a company 401k. you can open a solo 401k but the fees are higher, and you don't have employer match, assuming you contributing the maximum with a 4% match (which is a fairly standard match) that's losing out on 4.4k a year.
What else... Your employer no longer pays half of your social security tax, that's another 4k a year.
So in total we see this will cost you: $20k a year.
I might be missing some things.
After factoring all of that that leaves with 72k, or in other words. 40k less then your current job.
A general rule of thumb is that as a contractor you should make between 1.5 and 2x your current salary if you want to maintain the same standard of living. (need to save more due to lack of job security).
This is of course assuming that you would have the standard 40 hour work week. ANd aren't working 60+ hours.
TLDR:
A salary of 110K is much higher than an hourly wage of $48.. unless the hourly wage includes over time/holiday pay/weekend pay etc... Then it gets more complicated.