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v3.20.1

Broadcast Licenses, Goodwill and Other Intangible Assets (Details 1) | 3 Months Ended
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Dec. 31, 2019 | Dec. 31, 2018 | Dec. 31, 2017
Minimum [Member] |  |  |
Discount rates | 12.20% | 12.00% | 12.40%
Operating profit margin ranges | 19.00% | 19.00% | 19.00%
Market long-term revenue growth rates | 0.00% | 0.50% | 1.10%
Maximum [Member] |  |  |
Discount rates | 12.20% | 12.00% | 12.50%
Operating profit margin ranges | 36.40% | 36.40% | 36.40%
Market long-term revenue growth rates | 2.90% | 2.90% | 3.50%

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- Definition Interest rate used to find the present value of an amount to be paid or received in the future as an input to measure fair value. For example, but not limited to, weighted average cost of capital (WACC), cost of capital, cost of equity and cost of debt. + References No definition available. + Details
Name: | sga_FairValueInputDiscountRate
Namespace Prefix: | sga_
Data Type: | num:percentItemType
Balance Type: | na
Period Type: | duration

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- Definition Long-term pre-tax operating income as a percentage of net sales, used as an input to measure fair value. + References No definition available. + Details
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Namespace Prefix: | sga_
Data Type: | num:percentItemType
Balance Type: | na
Period Type: | duration

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- Definition Percentage of assumed long-term growth in revenues, used as an input to measure fair value. + References No definition available. + Details
Name: | sga_FairValueInputLongTermRevenueGrowthRate
Namespace Prefix: | sga_
Data Type: | num:percentItemType
Balance Type: | na
Period Type: | duration

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- Details
Name: | srt_RangeAxis=srt_MinimumMember
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Data Type: | na
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- Details
Name: | srt_RangeAxis=srt_MaximumMember
Namespace Prefix: |
Data Type: | na
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