You should know by now that there are no official States statistics pointing out who is committing the rapes.
But there are many studies conducted by private entities that show statistics based on real cases and show in detail who are the people committing the crimes.
Take a look at the following article. It has been written based on many different studies you can check yourself. There are many others like this one where you can get a clear picture of the real situation.
Sweden: Migrant-Background Rapists Make Up Majority of Attackers
Look at this very explicit title:
Rapes are rampant in Sweden, following years of Muslim immigration. An alarmingly high percentage of the victims are children.
https://www.jihadwatch.org/2017/07/swedens-islamic-rape-epidemic-almost-half-of-victims-are-children
You said: "But there are many studies conducted by private entities that show statistics based on real cases and show in detail who are the people committing the crimes." Neither of these two sources provide "in detail" who are committing the crimes.
The first source contained 2 studies.
The first one was published in 2017 but the data is from 2015, so it's a bit old to be considered evidence of an ongoing problem. It only studies Sweden, so that's a bit narrow to make global conclusions about a religion. It also was not able to identify
any details other than migrant status and
continent of origin. ( That was part of your claim ) It didn't even track
country of origin. So making the leap between 'Middle East/North African origin' and 'Muslim who was influenced SO MUCH by the Sharia Law in their home country that they committed rape in the new country, thinking it would be like home, and they wouldn't get caught' is something happening in your own brain, not something that is included in this study.
The second study was slightly more detailed, we still didn't get ethnicity, or religious status. It did correlate poor education with the rapists, though. Even more restrictive than the other study above, this study only includes data from 1 specific city in Sweden. So that, again, is not helpful supporting a claim of a global problem with a specific religion. The scope is too narrow. Not only that, but it studied less than 30 cases, if I read correctly. That's a very very small sample.
The second source you provided claims it can tie rape cases ( again only focusing on Sweden ) to countries of origin, but both the links provided to support these claims are broken. So, it really doesn't help your argument.
The other comment I have is that both Breitbart, and JihadWatch are questionable news sources. You're tipping your hand a bit, revealing a bias by directing readers to these 2 sites.