Have you checked what is using your battery?
Go to Settings -> Battery -> Battery usage -> View by apps
This will tell you what apps are being used by Screen Time and Background Processing…
There are some obvious outliers - such as any Meta product (Facebook, Instagram, WhatsApp) - that are rarely optimized for any platform’s battery life and will drain your battery fast.
You also need to take into account battery age and how many battery cycles you have gone through. There are many apps out there that are legitimate that can show your battery capacity, how many times you battery has charged from 0-100, etc.. You may want to check this as well.
When you get your results, please share so we can provide better advice! :-)