It's amazing how many people like to point out the BMI system is flawed. And it is - most athletes (or ones who play American power sports anyway) come up as obese.
Here's a simple test:
1. Could you run a 10K this afternoon in less than 40 mins and not feel the need to tell anybody about it?
2. Can you do more than 60 proper push ups in a minute?
3. Do you earn £300,000 a week?
If the answer to all those is "no" then you're not an athlete for whom the BMI calculation is skewed, you're fat. In fact, if you're obese then you will die sooner because of your weight (that's one of the definitions).
[Yes, there are a small number of outliers who seem to be perfectly healthy at weights far higher than recommended. Just like there are some people who can smoke all their lives and never become ill from it. But the only real way to find out if you are one of those is to see when you die so it's not a great test.]