The tax cuts outlined in last month’s federal budget successfully passed the Senate today.

Treasurer Scott Morrison’s plan is to have just three tax rates by 2024, with 94% of workers earning between $41,000 and $200,000 paying 32.5% tax on their income.

The passing of the legislation means that most will be paying less tax from July 1 when the threshold of the 32.5% tax bracket will shift to $90,000 from $87,000.

This will provide a tax cut of up to $135 a year to 3 million people and will prevent about 200,000 people from facing a marginal tax rate of 37%.

The top bracket of the 32.5% rate will then be further increased to $120,000 from $90,000 from July 2022, a saving of up to $1350 a year.

That change is projected to prevent about 1.8 million people moving to a higher marginal tax rate of 37% in 2022–23.

A new, non-refundable tax offset will provide tax relief of up to $530 to low and middle income earners from the financial year starting next month.

The offset will be a lump sum given at tax return time each year.

Here’s how the tax thresholds change from July 1, according to the federal budget papers: