https://salaryaftertax.com/de/salary-calculator says you'd keep £57,705, £10k less.
Even when in UK is the same, you still have to pay the TV-tax, VAT 19%, fuel prices are high because of gigantic taxes, all of those do not exist in USA.
Also in Germany public health is getting more expensive (there was an increase of 1% this year) and worse (although still good). Also education is getting more expensive slowly.