The cost of living is likely higher in the UK. Even in Los Angeles you can get a pint of beer for $4 or a six pack for $8. That is a good benchmark for minimum wages. http://www.courthousenews.com/2013/11/08/62761.htm
If that were the benchmark, Copenhagen is cheap! You can get a six-pack of Tuborg or Heineken for about $7-8, including tax, and any kind of normal local pub will have half-liters at $4-5 (though prices can go up to $10+ at fancy bars). That makes the $20/hr minimum wage look quite nice relative to costs: about three six-packs per hour of work!
However, some other things are expensive, such as housing.