Some decent answers and some appallingly misleading and/or blatantly incorrect answers.
Here's the real answer:
Different octanes of fuel are designed to be resist detonation (pre-ignition) at different pressure and heat levels.
Normal cars run on 87RON whereas high compression or forced induction engines need a higher octane due to the higher pressures in the cylinder. The higher presures can cause lower octane fuel to ignite before the desired position of the engine internals. This can cause extreme stresses and catastrophic damage.
Yes, your car is designed to sense this and configure the running conditions to resist preignition but i personally wouldn't rely on that.
Fill your car with what the manual recommends.
Fun fact: if your car is designed to run 87RON vs 93RON running the higher octane fuel is actually making your vehicle less efficient.
Side note: 87RON is different than 87AKI. Make sure you understand what you're putting in your car. Different countries follow different fuel standards.