The total number of professors in universities J and K together is approximately what per cent less than the number of Assistant Professors in university M?

Total number of assistant professors in university M

= $$\frac{63}{100} \times 100 = 63$$

Total number of assistant or associate professors in university J = $$\frac{60}{100} \times 250 + 75$$

= $$150 + 75 = 225$$

Thus, total professors in university J = $$250 - 225 = 25$$

Similarly, total number of assistant or associate professors in university K = $$\frac{75}{100} \times 180 + 24$$

= $$135 + 24 = 159$$

Thus, total professors in university K = $$180 - 159 = 21$$

=> Total number of professors in universities J and K together = $$25 + 21 = 46$$

$$\therefore$$ Required % = $$\frac{63 - 46}{63} \times 100$$

= $$26.98 \approx 27 \%$$