| Current Federal Tax Expense (Benefit) | 22.00M | 2025-01-01 → 2025-12-31 |
| Current State and Local Tax Expense (Benefit) | 18.00M | 2025-01-01 → 2025-12-31 |
| Current Foreign Tax Expense (Benefit) | 4.00M | 2025-01-01 → 2025-12-31 |
| Current Income Tax Expense (Benefit) | 44.00M | 2025-01-01 → 2025-12-31 |
| Deferred Federal Income Tax Expense (Benefit) | 173.00M | 2025-01-01 → 2025-12-31 |
| Cash Segregated under Other Regulations | 5.55B | as of 2025-12-31 |
| Deferred State and Local Income Tax Expense (Benefit) | 20.00M | 2025-01-01 → 2025-12-31 |
| Capitalized Computer Software, Amortization | 49.00M | 2025-01-01 → 2025-12-31 |
| Deferred Foreign Income Tax Expense (Benefit) | -12.00M | 2025-01-01 → 2025-12-31 |
| Operating Lease, Liability, Current | 22.00M | as of 2025-12-31 |
| Share-based Payment Arrangement, Amount Capitalized | 23.00M | 2025-01-01 → 2025-12-31 |
| Share-based Payment Arrangement, Expense | 305.00M | 2025-01-01 → 2025-12-31 |
| Indefinite-lived Intangible Assets, Foreign Currency Translation Gain (Loss) | 1.00M | 2025-01-01 → 2025-12-31 |
| Deposits with Clearing Organizations and Others, Securities | 702.00M | as of 2025-12-31 |
| Effective Income Tax Rate Reconciliation at Federal Statutory Income Tax Rate, Amount | 443.00M | 2025-01-01 → 2025-12-31 |
| Effective Income Tax Rate Reconciliation, State and Local Income Taxes, Amount | 34.00M | 2025-01-01 → 2025-12-31 |
| Share-based Payment Arrangement, Expense, Tax Benefit | 307.00M | 2025-01-01 → 2025-12-31 |
| Effective Income Tax Rate Reconciliation, Foreign Income Tax Rate Differential, Amount | -12.00M | 2025-01-01 → 2025-12-31 |
| EffectiveIncomeTaxRateReconciliationCrossBorderOtherAmount | 1.00M | 2025-01-01 → 2025-12-31 |
| Effective Income Tax Rate Reconciliation, Tax Credit, Research, Amount | 66.00M | 2025-01-01 → 2025-12-31 |
| Share-based Payment Arrangement, Nonvested Award, Cost Not yet Recognized, Amount | 277.00M | as of 2025-12-31 |
| Effective Income Tax Rate Reconciliation, Nondeductible Expense, Share-based Payment Arrangement, Amount | -184.00M | 2025-01-01 → 2025-12-31 |
| Effective Income Tax Rate Reconciliation, Nondeductible Expense, Other, Amount | 5.00M | 2025-01-01 → 2025-12-31 |
| Securities Borrowed, Gross | 2.41B | as of 2025-12-31 |
| Securities Borrowed, Liability | 0 | as of 2025-12-31 |
| Securities Borrowed, Collateral, Obligation to Return Cash | 2.35B | as of 2025-12-31 |
| Effective Income Tax Rate Reconciliation, Tax Contingency, Amount | 0 | 2025-01-01 → 2025-12-31 |
| Securities Borrowed, Amount Offset Against Collateral | 62.00M | as of 2025-12-31 |
| Contract with Customer, Receivable, after Allowance for Credit Loss, Current | 17.99B | as of 2025-12-31 |
| Effective Income Tax Rate Reconciliation, Change in Deferred Tax Assets Valuation Allowance, Amount | 3.00M | 2025-01-01 → 2025-12-31 |
| Effective Income Tax Rate Reconciliation, Other Adjustments, Amount | 1.00M | 2025-01-01 → 2025-12-31 |
| Finite-Lived Intangible Asset, Expected Amortization, Year One | 27.00M | as of 2025-12-31 |
| Finite-Lived Intangible Asset, Expected Amortization, Year Two | 22.00M | as of 2025-12-31 |
| Loss Contingency Accrual | 71.00M | as of 2025-12-31 |
| Finite-Lived Intangible Asset, Expected Amortization, Year Three | 18.00M | as of 2025-12-31 |
| Finite-Lived Intangible Asset, Expected Amortization, Year Four | 18.00M | as of 2025-12-31 |
| Finite-Lived Intangible Asset, Expected Amortization, Year Five | 12.00M | as of 2025-12-31 |
| Finite-Lived Intangible Asset, Expected Amortization, after Year Five | 33.00M | as of 2025-12-31 |
| Intangible Assets, Gross (Excluding Goodwill) | 202.00M | as of 2025-12-31 |
| Net Income (Loss) Available to Common Stockholders, Diluted | 1.88B | 2025-01-01 → 2025-12-31 |
| Capitalized Contract Cost, Impairment Loss | 0 | 2025-01-01 → 2025-12-31 |
| Impairment of Intangible Assets (Excluding Goodwill) | 0 | 2025-01-01 → 2025-12-31 |
| Securities Loaned, Gross | 11.63B | as of 2025-12-31 |
| Securities Loaned, Asset | 0 | as of 2025-12-31 |
| Securities Loaned, Collateral, Right to Reclaim Cash | 10.90B | as of 2025-12-31 |
| Deferred Tax Assets, Operating Loss Carryforwards | 40.00M | as of 2025-12-31 |
| Share-based Compensation Arrangement by Share-based Payment Award, Options, Exercises in Period, Intrinsic Value | 304.00M | 2025-01-01 → 2025-12-31 |
| Goodwill, Acquired During Period | 204.00M | 2025-01-01 → 2025-12-31 |
| Securities Loaned, Amount Offset Against Collateral | 724.00M | as of 2025-12-31 |
| Share-based Compensation Arrangement by Share-based Payment Award, Options, Vested in Period, Fair Value | 2.00M | 2025-01-01 → 2025-12-31 |
| Deferred Tax Assets, Tax Credit Carryforwards | 193.00M | as of 2025-12-31 |
| Goodwill, Foreign Currency Translation Gain (Loss) | 2.00M | 2025-01-01 → 2025-12-31 |
| Share-based Compensation Arrangement by Share-based Payment Award, Options, Vested and Expected to Vest, Outstanding, Aggregate Intrinsic Value | 325.00M | as of 2025-12-31 |
| Share-based Compensation Arrangement by Share-based Payment Award, Options, Vested and Expected to Vest, Exercisable, Aggregate Intrinsic Value | 316.00M | as of 2025-12-31 |
| Deferred Tax Assets, Tax Deferred Expense, Compensation and Benefits, Share-based Compensation Cost | 10.00M | as of 2025-12-31 |
| Unrecorded Unconditional Purchase Obligation | 3.00M | as of 2025-12-31 |
| Operating Lease, Cost | 29.00M | 2025-01-01 → 2025-12-31 |
| Short-term Lease, Cost | 3.00M | 2025-01-01 → 2025-12-31 |
| Variable Lease, Cost | 9.00M | 2025-01-01 → 2025-12-31 |
| Lease, Cost | 37.00M | 2025-01-01 → 2025-12-31 |
| Share-based Compensation Arrangement by Share-based Payment Award, Equity Instruments Other than Options, Aggregate Intrinsic Value, Outstanding | 325.00M | as of 2025-12-31 |
| Deferred Tax Assets, Tax Deferred Expense, Reserves and Accruals, Accrued Liabilities | 29.00M | as of 2025-12-31 |
| Lessee, Operating Lease, Liability, to be Paid, Year One | 35.00M | as of 2025-12-31 |
| Lessee, Operating Lease, Liability, to be Paid, Year Two | 46.00M | as of 2025-12-31 |
| Lessee, Operating Lease, Liability, to be Paid, Year Three | 44.00M | as of 2025-12-31 |
| Lessee, Operating Lease, Liability, to be Paid, Year Four | 43.00M | as of 2025-12-31 |
| Lessee, Operating Lease, Liability, to be Paid, Year Five | 40.00M | as of 2025-12-31 |
| Lessee, Operating Lease, Liability, to be Paid, after Year Five | 126.00M | as of 2025-12-31 |
| Lessee, Operating Lease, Liability, to be Paid | 334.00M | as of 2025-12-31 |
| Deferred Tax Assets, Other | 41.00M | as of 2025-12-31 |
| Deferred Tax Assets, Gross | 515.00M | as of 2025-12-31 |
| Deferred Tax Assets, Valuation Allowance | 105.00M | as of 2025-12-31 |
| Lessee, Operating Lease, Liability, Undiscounted Excess Amount | 72.00M | as of 2025-12-31 |
| Deferred Tax Liabilities, Gross | 231.00M | as of 2025-12-31 |
| Deferred Tax Assets, Net | 179.00M | as of 2025-12-31 |
| Valuation Allowance, Deferred Tax Asset, Increase (Decrease), Amount | 17.00M | 2025-01-01 → 2025-12-31 |
| Deferred Tax Liabilities, Property, Plant and Equipment | 31.00M | as of 2025-12-31 |
| Deferred Tax Liabilities, Leasing Arrangements | 43.00M | as of 2025-12-31 |
| Deferred Tax Liabilities, Other | 4.00M | as of 2025-12-31 |
| Defined Contribution Plan, Cost | 17.00M | 2025-01-01 → 2025-12-31 |
| Off-Balance Sheet, Credit Loss, Liability | 41.00M | as of 2025-12-31 |
| Off-Balance Sheet, Credit Loss, Liability, Credit Loss Expense (Reversal) | 27.00M | 2025-01-01 → 2025-12-31 |
| Unrecognized Tax Benefits | 134.00M | as of 2025-12-31 |
| Unrecognized Tax Benefits, Increase Resulting from Prior Period Tax Positions | 1.00M | 2025-01-01 → 2025-12-31 |
| Unrecognized Tax Benefits, Decrease Resulting from Prior Period Tax Positions | 0 | 2025-01-01 → 2025-12-31 |
| Unrecognized Tax Benefits, Increase Resulting from Current Period Tax Positions | 35.00M | 2025-01-01 → 2025-12-31 |
| Unrecognized Tax Benefits that Would Impact Effective Tax Rate | 88.00M | as of 2025-12-31 |
| Income (Loss) from Continuing Operations before Income Taxes, Domestic | 2.09B | 2025-01-01 → 2025-12-31 |
| Income (Loss) from Continuing Operations before Income Taxes, Foreign | 22.00M | 2025-01-01 → 2025-12-31 |
| APIC, Share-based Payment Arrangement, Increase for Cost Recognition | 328.00M | 2025-01-01 → 2025-12-31 |