Chairman David Telling said the group's order book had never been stronger and its expertise in refurbishment meant that any slowdown in new-build projects would not affect results.
He said: "In a recession, clients stop building new projects and there is more reconfiguring of buildings, which is good for us because we have that expertise."
Telling said he was proud of the group's rapid growth since it was formed 14 years ago and said there was more expansion to come. He said: "We are all out for growth but as we get bigger it becomes more difficult to maintain the same rate of growth."
Mitie, which stands for Management Incentive Through Investment Equity, formed five new companies in the last financial year. Telling said it was always considering forming new ones to continue its growth.
Mitie has expanded by giving management equity stakes to employees, who now own about 50% of the firm. The company operates 65 separate businesses.
Telling said the building services division, which includes mechanical, electrical and property services, had held pre-tax margins at 5% for the year. Turnover has also increased from £210.5m to almost £250m. The division made a pre-tax profit of £12.49m, up from £10.44m the year before.
In a recession there is more reconfiguring of buildings – and we have that expertise
David Telling, chairman, Mitie
Mitie's support services division, which covers cleaning, catering, security and waste management, saw margins rise from 6.5% to 7.6%.
It posted a pre-tax profit of £12.6m, up £8.8m on the previous year, on turnover of £165.6m. The overall margin for the group was 5.6%.
Telling said Mitie's development into a UK-wide company, with offices from Inverness to Plymouth, meant it could win work from large clients for projects across Scotland and England.