https://www.statista.com/statistics/194213/crime-clearance-r...
Seems it’s only about 22% of serious crimes which are solved. Of course the beauty of these “facts” is they differ wildly.
Imagine a life insurance broker that moonlights as a serial killer offing someone's spouse soon after the policy is open. The remaining spouse is going to prison for a very long time every single time.
A murder case basically starts with police opening a file saying "X has been murdered" and goes on from there. So if the death looks enough like accident or natural causes or suicide, no murder case is opened and it doesn't count as an uncleared murder.
Therefore it wouldn't surprise me if the majority of murders (51%, anyway) are unsolved.