Windows: Android SDK installer does not find Java SE Development Kit (JDK)

Update 2011-06-25: As suggested in the comments just clicking back button and then next again in the installer could bypass the problem. Thanks to Hatem and tikno07.

Android SDK Tools Setup JDK not foundI was trying to install the Android SDK tools using the Windows installer package recently. Since I had the Java JDK SE 6 Update 23 installed on my system I was confused about the installer aborting the installation process with the message:

Java SE Development Kit (JDK) not found

After some research I found out, that the installer does not detect 64-bit JDK versions. After removing the 64-bit version of the JDK and (re)installed the 32-bit version the installer worked as expected.
I also found this post and that one which show workarounds to get the Android SDK tools working with a 64-bit JDK. Due to the fact that I do not know if using a 64-bit JDK has any side effects on the Android tools, I decided to use 32-bit one to be on the save side.