Technically it's a Public Limited Company (albeit one wholly owned by a trust for the benefit of its employees), but it does run an internal democratic system.
Profits are distributed to employees as bonus, which is a uniform percentage of their salary. 2021 is the first year they won't distribute a bonus (because of Covid), but historically it's been between 5% and 20%.
[0] https://en.wikipedia.org/wiki/John_Lewis_Partnership
That also means that every employee effectively has the same stake in the company - those high up in management, for example, don't have a lop-sided number of shares compared to those on the (both literal and metaphorical) shop floor.
JL employees also elect colleagues to hold the management to account, and appoint people to the Board and Trust. How many "traditional employers" allow that to happen?