As other people pointed out: this varies wildly by city or region. In urban areas cars are really not incredibly common. In Berlin you'll find that only 1/3 of people even own a car. Of course, even fewer go to work by car.
In Munich, you'll find 1/2 of people owning a car.
I think it's far more localised than "city" or "region". It depends on where in the city the place of work is and if there is a car park.
E.g. the 2 biggest employers in Oxford UK are the University, where almost no one would commute by car, and the MINI car factory, where almost everyone would. That's because the University is in the historic part of town, with good bus service, near the main train station, easy cycling and no parking, but the car factory is at the edge of town, with good access to the road network and lots of parking.
Yep, even larger cities may not have public infrastruture that matches the requirement of all. I’ve had all kinds of jobs in the same area. One job was perfect for bus, another had biking as the fastest option. Current job and geography means that I can drive 15 - 20min, bike 60min or bus for 90min.
To contribute to the anecdotal evidences, at our company I would guess 25% and AFAIK they all live in the suburbs and drive to the nearest subway station in the city and use public transit the rest of the journey because traffic at start/end workday hours is a nightmare.