P_{saturn} = 4\pi R_{Saturn}^{2}\sigma T_{Saturn}^{4}
First calculate with T as 76K:
P_{Saturn}^{T=76K} = 4\pi×57500^2×5.6703*10^{−8}×(76)^4
= 7.8596*10^{10} W
Now T as 93K:
P_{Saturn}^{T=93K} = 4\pi×57500^2×5.6703*10^{−8}×(93)^4
= 1.7623*10^{11}W
We have our two powers one P_{Saturn}^{T=93K} and one P_{Saturn}^{T=76K} so now we find the difference:
P_{difference} = P_{Saturn}^{T=76K} - P_{Saturn}^{T=93K} = 9.7634*10^{10}W
So Saturn radiates 0.554 times the power that saturn absorbes by sun which increases the temp to 93K.
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