You're looking for what's typically termed financial independence. There are many blogs on the subject, Mr Money Moustache is one of the most popular, and I like Millennial Revolution for their Canadian flavour. You'll find quite a lot of information there (MR's investment series is quite informative).
For a broad forecasting assumption, a 4% safe withdrawal rate is common, which means you can withdraw 4% of your portfolio on any given year with a high probability that your portfolio will outlive you. That essentially means you need to save 25x your annual spending (in retirement).
There is so much nuance to it it's easy to get overwhelmed. Early Retirement Extreme has a series diving into the math and probability of withdrawal rates, with a multitude of simulations. There's FIREcalc, which can help with planning but can get complex.
To make it simple, I've not put hard limits or goals on savings. Disciplined spending will get me there. Invest in low-cost whole-market index funds, don't put too much pressure on yourself, and enjoy the journey.