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Microsoft has given market share figures against PlayStation:

Now they don't explicitly state what these figures represent but by looking at the Japanese sales numbers from Famitsu and the market share percentages Microsoft disclosed we can infer it represents console install-base for XBO+XSX vs PS4+PS5.

Microsoft state that the market share in Japan is 96/4. Famitsu latest numbers line up with this perfectly rounded to the nearest percent.

PS5+PS4 = 12,226,985 (95.7%)
XBO+XSX = 538,097 (4.3%)

So rounded to the nearest whole percent 96/4 just as Microsoft stated. If the numbers were based on just PS5 vs XSX it would be very different to this.

So now we can look at the figures MS gave for Global and EU and compare them to the numbers from VGChartz and Famitsu rounded to the nearest percent.

Global:
Microsoft: 70% PlayStation - 30% Xbox
VGChartz: 67% PlayStation - 33% Xbox

Europe:
Microsoft: 80% PlayStation - 20% Xbox
VGChartz: 75% PlayStation - 25% Xbox

Japan:
Microsoft: 96% PlayStation - 4% Xbox
Famitsu: 96% PlayStation - 4% Xbox 

So is XBO and/or XSX overtracked globally and in Europe? It's hard to say anything concrete here but sadly this is the closest we've had to official numbers for the Xbox consoles in a very long time.

Microsoft may be rounding the Global and Europe figures to the nearest 10%, though even then it would suggest a slight discrepancy with the EU numbers.