Switzerland doesn't run one national income tax schedule. Federal tax (Direkte Bundessteuer) applies the same progressive bands everywhere, topping out at an 11.5% marginal rate. On top of that, Canton Zurich sets its own separate "einfache Staatssteuer" (simple tax) schedule, and that simple-tax figure is what actually gets multiplied twice: once by the canton's own multiplier (95% for 2026) to produce your cantonal tax, and again by your municipality's multiplier (119% for the City of Zurich) to produce your communal tax. Add federal, cantonal, and communal together, plus optional church tax on the same simple-tax base, and that's your total income tax bill.
Social insurance sits alongside, not inside, that tax stack. AHV/IV/EO (the first pillar, old-age and disability insurance) takes a flat 5.3% of gross with no ceiling, ALV (unemployment insurance) takes 1.1% up to a CHF 148,200/year ceiling, and BVG (Pensionskasse, the mandatory second-pillar pension) contributes on a "coordinated salary" band that excludes a CHF 26,460 deduction and rises in age-based steps from 7% at 25-34 up to 18% at 55-65, split roughly 50/50 between you and your employer.
Because the canton and communal multipliers are municipality-specific, this exact combination, 95% cantonal, 119% communal, only holds for the City of Zurich. Move to Zug, Winterthur, or across the border to Geneva, and the multipliers (and sometimes the underlying schedule) change, sometimes dramatically. That's also why this calculator can't simply be relabelled for "Switzerland" generally: every canton and commune runs its own version of the same three-layer structure.