Reverse Calculate the Price Without 10% Sales Tax Rate Out of US $197.99 (USD, US Dollar) Price With Tax Included. Find the Price Before Tax and the Amount of the Deducted Sales Tax. Answer, Formula and Explanation
Reverse Calculate the Price Without 10% Sales Tax Rate Out of US $197.99 (USD, US Dollar) Price With Tax Included. Detailed answer:
1. The relationship between the 'Price with Sales Tax' and the 'Price without Sales Tax':
Formula:
Amount of Sales Tax =
Sales Tax Rate × Price without Sales Tax
Substitute for the 'Amount of Sales Tax' into the formula below.
Formula:
Price with Sales Tax =
Price without Sales Tax + Amount of Sales Tax =
Price without Sales Tax + Sales Tax Rate × Price without Sales Tax =
Price without Sales Tax × (1 + Sales Tax Rate)
2. Express the 'Price without Sales Tax' by the 'Price with Sales Tax':
Formula:
Price with Sales Tax =
Price without Sales Tax × (1 + Sales Tax Rate)
⇒
Price without Sales Tax =
Price with Sales Tax ÷ (1 + Sales Tax Rate)
3. Calculate the 'Price without Sales Tax':
Calculation:
Price without Sales Tax =
197.99 ÷ (1 + 10%) =
197.99 ÷ (1 + 10/100) =
197.99 ÷ (1 + 10 ÷ 100) =
197.99 ÷ (1 + 0.1) =
197.99 ÷ 1.1 =
179.990909090909 ≈
(Rounded off to a maximum of 2 decimals)
179.99
4. Calculate the 'Amount of the Sales Tax':
Formula:
Amount of Sales Tax =
Price with Sales Tax - Price without Sales Tax
Calculation: Amount of Sales Tax =
197.99 - 179.990909090909 =
17.999090909091 ≈
(Rounded off to a maximum of 2 decimals)
18
Price without Sales Tax ≈ US $179.99 (USD, US Dollars)
Amount of Sales Tax ≈ US $18 (USD, US Dollars)
Signs: % percent, ÷ divide, × multiply, = equal, / fraction bar, ≈ approximately equal. Writing numbers: comma ',' as thousands separator; point '.' as a decimal mark.
More Operations of Reverse Calculating the Price Without Sales Tax:
Reverse Calculate the Sales Tax, Calculate the Amount of Contained Tax
Price without the Sales Tax = Price with the Sales Tax ÷ (1 + Sales Tax Rate %)