To determine the sales tax rate in a state where the tax on a purchase of [tex]$990 is $[/tex]569.301, follow these steps:
1. Identify the purchase amount: The total purchase amount is $990.
2. Identify the tax amount: The total tax amount applied to this purchase is $569.301.
3. Calculate the sales tax rate: The sales tax rate can be found by dividing the tax amount by the purchase amount and then multiplying the result by 100 to get a percentage.
[tex]\[ \text{Sales Tax Rate} = \left(\frac{\text{Tax Amount}}{\text{Purchase Amount}}\right) \times 100 \][/tex]
[tex]\[ \text{Sales Tax Rate} = \left(\frac{569.301}{990}\right) \times 100 \][/tex]
4. Result: After performing the division and multiplication, we find that the sales tax rate is approximately 57.5052%.
Therefore, the sales tax rate in this state is approximately 57.5052%.
