Smaller, large companies.
Often firms are classified as small, medium or large. Different definitions of the categories apply for different purposes and in different jurisdictions and in formal and informal use.
A common grouping is Small and Medium-sized Enterprises, SMEs. These may benefit from easier financial reporting requirements, tax provisions or eligibility for various government-provided supports.
Most firms are small, some are medium-sized and few are large. But the sizes of firms in the last category vary greatly. In European Union use, for example, SMEs do not exceed €43m in turnover while some companies turnover many billions. Of course, opportunities of many kinds available to firms, for example the available range of investment and financing opportunities, vary materially with their size.
It has become useful to distinguish smaller large companies for some purposes.
In the UK, the idea of Mid-sized companies, with turnover of up to £500m and of Mid+ sized companies with up to £1bn turnover has developed. By early 2015 the idea of mid-size has been taken up by some authors in euro-terms as a broad mid-sized company range up to €1.2bn turnover.
No doubt terminology will continue to develop until its use in law and regulation makes further change more difficult or confusing.