Deliveroo is seeking a valuation of between £7.6bn and £8.8bn when it lists its shares on the London stock market.
The takeaway food delivery platform has said it plans to sell its shares at a price of between 390p and 460p, in what is set to be the biggest UK share listing in more than seven years.
It also said on Monday the total value of orders in January and February had more than doubled from last year.
Founder Will Shu said there were “huge” opportunities ahead.
Demand for takeaway meals has soared during the coronavirus pandemic, after lockdown measures were first implemented a year ago and restaurants have been forced to close.
Restrictions on hospitality businesses in England are currently set to start to ease on 12 April at the earliest.
Deliveroo – which has yet to announce a profit – said it would use the money raised to invest in the business.
The company was founded in London in 2013, and is active in more than 200 towns and cities across the UK.
It operates internationally in 12 countries, in mainland Europe, Asia, Australia and the Middle East.
Deliveroo said there were “enormous” market opportunities for expansion. “The way we think about it is simple: there are 21 meal occasions in a week – breakfast, lunch, and dinner – seven days a week. Right now, less than one of those 21 transactions takes place online. We are working to change that.”
Last year, internet giant Amazon invested in the business.
Deliveroo will sell around £1bn of new shares, and current shareholders will use the opportunity to sell some of their stake.
On Sunday, Mr Shu told Sky News he would cash-in part of his 6.2% stake in the business, which could be worth £550m.
Customers who have placed at least one order with Deliveroo will have a chance to buy shares in the business, with what the company calls “loyal” customers being given priority.
Deliveroo is also planning to reward its busiest riders with bonuses of up to £10,000.
Riders who have delivered the most orders will share in a £16m fund, the company has said.
Deliveroo drivers in the UK have been at the forefront of the debate about new ways of working in the “gig” economy. Some drivers have taken industrial and court action to improve their pay and conditions.