S-K 1602(a)(4) Forepart, Adjusted NTBV	Jul. 21, 2025 $ / shares
SPAC Forepart, Adjusted Net Tangible Book Value Per Share [Line Items]
Registered Offering Price per Share	$ 10
Over-allotment Option Exercised [Member] \| Redemption at 25 Percent of Maximum [Member]
SPAC Forepart, Adjusted Net Tangible Book Value Per Share [Line Items]
Net Tangible Book Value, Adjusted, per Share	6.73
Difference Between the Offering Price and the Adjusted Net Tangible Book Value, Per Share	3.27
Over-allotment Option Exercised [Member] \| Redemption at 50 Percent of Maximum [Member]
SPAC Forepart, Adjusted Net Tangible Book Value Per Share [Line Items]
Net Tangible Book Value, Adjusted, per Share	5.87
Difference Between the Offering Price and the Adjusted Net Tangible Book Value, Per Share	4.13
Over-allotment Option Exercised [Member] \| Redemption at 75 Percent of Maximum [Member]
SPAC Forepart, Adjusted Net Tangible Book Value Per Share [Line Items]
Net Tangible Book Value, Adjusted, per Share	4.26
Difference Between the Offering Price and the Adjusted Net Tangible Book Value, Per Share	5.74
Over-allotment Option Exercised [Member] \| Redemption at 100 Percent of Maximum [Member]
SPAC Forepart, Adjusted Net Tangible Book Value Per Share [Line Items]
Net Tangible Book Value, Adjusted, per Share	0.22
Difference Between the Offering Price and the Adjusted Net Tangible Book Value, Per Share	9.78
Over-allotment Option Not Exercised [Member] \| Redemption at 25 Percent of Maximum [Member]
SPAC Forepart, Adjusted Net Tangible Book Value Per Share [Line Items]
Net Tangible Book Value, Adjusted, per Share	6.73
Difference Between the Offering Price and the Adjusted Net Tangible Book Value, Per Share	3.27
Over-allotment Option Not Exercised [Member] \| Redemption at 50 Percent of Maximum [Member]
SPAC Forepart, Adjusted Net Tangible Book Value Per Share [Line Items]
Net Tangible Book Value, Adjusted, per Share	5.87
Difference Between the Offering Price and the Adjusted Net Tangible Book Value, Per Share	4.13
Over-allotment Option Not Exercised [Member] \| Redemption at 75 Percent of Maximum [Member]
SPAC Forepart, Adjusted Net Tangible Book Value Per Share [Line Items]
Net Tangible Book Value, Adjusted, per Share	4.26
Difference Between the Offering Price and the Adjusted Net Tangible Book Value, Per Share	5.74
Over-allotment Option Not Exercised [Member] \| Redemption at 100 Percent of Maximum [Member]
SPAC Forepart, Adjusted Net Tangible Book Value Per Share [Line Items]
Net Tangible Book Value, Adjusted, per Share	0.21
Difference Between the Offering Price and the Adjusted Net Tangible Book Value, Per Share	9.79
Offering Price of $10.00 per Unit [Member] \| Over-allotment Option Exercised [Member]
SPAC Forepart, Adjusted Net Tangible Book Value Per Share [Line Items]
Net Tangible Book Value, Adjusted, per Share	7.26
Offering Price of $10.00 per Unit [Member] \| Over-allotment Option Not Exercised [Member]
SPAC Forepart, Adjusted Net Tangible Book Value Per Share [Line Items]
Net Tangible Book Value, Adjusted, per Share	$ 7.26

Rice Acquisition Corp 3 S-1/A