Reverse Calculate Price Without 7.25% Sales Tax Rate Out of USD 163 (Dollars) Price With Tax Included. Find Price Before Tax and the Amount of the Sales Tax

Detailed answer:

1. Rewrite 'Price with sales tax'.

Replace the 'Amount of sales tax' in the ecuation of 'Price with sales tax':

Formula:

Amount of sales tax =


Sales tax rate × Price without sales tax;


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. Calculate the 'Price without sales tax':

Formula:

Price with sales tax =


Price without sales tax × (1 + Sales tax rate)


=>

Formula:

Price without sales tax =


Price with sales tax ÷ (1 + Sales tax rate)


Calculation:

Price without sales tax =


163 ÷ (1 + 7.25%) =


163 ÷ (1 + 7.25/100) =


163 ÷ (1 + 7.25 ÷ 100) =


163 ÷ (1 + 0.0725) =


163 ÷ 1.0725 ≈


151.981351981352 ≈


151.98
(Rounded to a maximum of 2 decimals)


3. Calculate the 'Amount of sales tax':

Formula:

Amount of sales tax =


Price with sales tax - Price without sales tax


Calculation:

Amount of sales tax =


163 - 151.981351981352 =


11.018648018648 ≈


11.02
(Rounded to a maximum of 2 decimals)


Answer:
(scroll down)

Price without sales tax ≈ $151.98 dollars;
Amount of sales tax ≈ $11.02 dollars;

Signs: % percent, ÷ divide, × multiply, = equal, / fraction bar, ≈ approximately equal;

Writing numbers: point '.' as a decimal mark;

More operations of this kind:

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%)

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Formulas: How to reverse calculate the Sales Tax and the Selling Price Without the Sales Tax out of the Final Sales Tax Charged Price?

Example of reverse calculating the Sales Tax and the List Selling Price out of the Final Price with the tax


Read the full article: How to Reverse Calculate Sales Tax Out of The Final Price (With Tax, After Tax)


Sales Tax: What is it and How to Add it (Charge it) to the Listed Selling Prices (Before Tax)