Probably not, if your definition of "much further" is an increase from 30% or something.
As a data point, one Australia State uses 70% renewables, average, over a year: https://www.energymining.sa.gov.au/industry/hydrogen-and-ren... It's a mixture of wind and solar. Unlike other places that have a high percentage of renewable generation they do not have hydro of any sort.
The renewables have replaced coal and gas generation. They are at 70% because renewables were cheaper than fossil 20 years ago, because they have no coal or gas - it's all imported. The transition was purely driven by cost. The costs were higher than any other state in Australia, so they started earlier.
The most costly part right now is the remaining 30%, which is supplied by gas peakers. You can guess what might happen in the future from this: https://reneweconomy.com.au/i-could-never-find-a-business-ca... Some quotes to save you reading that link:
- “The reality is that you can’t buy a gas turbine for the next four to five years,” David Scaysbrook, the founder and co-head of Quinbrook Infrastructure Investors, one of the world’s biggest energy investors ... “They’re all sold out,” he says. And the price has also soared. “They are nearly four times the cost of what it was two years ago.”
- the rising cost of gas – it is about three times higher than it was a decade ago – has made the business case even more complicated (FYI: Australia is the worlds largest gas exporter - the problem isn't availability).