They are entirely different drugs with different mechanisms. Taking too much paracetamol/Tylenol/acetaminophen is extremely dangerous for your liver and dosing instructions should be followed exactly. Prolonged use of ibuprofen or other NSAIDs can lead to gastrointestinal ulcers and kidney damage, so only take it for as long as you have to. They both have instructions to take a dose every 6 to 8 hours, so if you’re in significant pain or you have a really bad fever, you can alternate them every 4 hours. For example, paracetamol at 8am, ibuprofen at noon, paracetamol at 4pm, etc.

Also, be careful of “cough” or “cold” medicines like NyQuil/DayQuil, because they usually have paracetamol/Tylenol in them and that counts towards the daily dose limit.