No. It depends on your other income. It’s 18% for the proportion of the gain that falls within your basic rate band and then 28% in your higher rate band. Your first £12,300 is tax free.
Comparing limited and personal, and looking solely at an £80k profit…
Let’s say your other income leaves you with £10k spare basic rate band…
If you owned it personally, you would have £12,300 tax free, £10k at 18% and the rest at 28%.
A company would pay tax on the £80k at between 19 and 25% (based on the rates currently due to be in force in 4 years time. Effictively: first £50k at 19%, next £200k at the marginal rate of 26.5% anything above that and it’s all at 25%).
Assuming you then withdrew the money from the company as dividends, you would pay tax at 8.25/33.75/39.35% depending on your other income.
So, with £10k spare basic rate band and no other dividends, it would be £2k tax free, £10k at 8.25% and the rest at 33.75%.
Very rough calcs (based on £80k taxable the balance after tax all being taken out of the company - it would also depend on other factors eg whether it had been let at a profit, whether you had paid any of the mortgage down etc). On the above assumptions, you’d end up with around £44,300 in your pocket through a limited company and around £62k if you owned it personally.
But, there other factors to take into account. Eg if you were already a higher rate tax payer and didn’t need the money, and were likely to be a basic rate tax payer when you needed it, you could withdraw it later over a period of time at 8.25%.
You could also make pension contributions which could reduce the tax due in either circumstance. That’s a very different calculation for personal and company contributions (eg different max contributions, different tax treatment in fund for company v personal).
And, whatever you calculate now, the government could change tax rates/rules overnight and make what was the right decision at the time the wrong one!
(Disclaimer - these are quick calcs, done on a scrap of paper, so don’t change your life because of them!)