What is Percent Off Calculator

Free Online Percent Off Calculator will determine the sales percentage given the inputs Original Price and Percent Off. Unlike other calculators, you will find a detailed explanation of how the result arrived.

Ex: X = 25.58 Y = 56 (or) X = 46 Y = 42.6 (or) X = 86 Y = 54

Here are some samples of Percent Off Calculations.

What is X Percent of Y Calculator: Percentages are an important part of our everyday lives. Percentage is a very handy way of writing fractions. The percentage calculator, formula, example calculation (show work along with steps), real-world problems with solutions are very helpful for grade school students (K-12 education), and also for common people to learn how to find the percent of some numbers.

A percentage is a fraction expressed as a part of one hundred, instead of any other denominator. The word “percent”, originally “per centum”, means “by the hundred”. However, the percent is a ratio that compares a number to a hundred. We can also write these fractions in decimals. The symbol to represent the percentage is % and it is placed after the number. For example, 50% represents 50/100, or 0.5. The result is obtained by multiplying a quantity by a percent.

What is X Percent of Y?

The percentage topic is very useful in real-life, for example, to solve problems based on discounts, markup and many more like these. Go through the further sections and get the complete details about what is X% of Y calculator and how to use and how it works in detailed steps. Make use of our free online percentage calculator tool and compute any type of your percent problems easier and faster.

Formula for X percent of Y

The formula that is given to calculate the x% of y is as follows

X% of Y = (X/100) * Y

where Y is the base.

How to Calculate X Percent of Y?

To determine X percent of a real number Y,

First, change the percent to a fraction or decimal i.e, 1/100 or 0.01, and then multiply it by Y value.
Here, the word ‘of’ means multiply.
Now, convert this statement into an equation using the percentage formula: P% * X = Y.
Else, Use the formula for X% of Y = (X/100) * Y
Thereafter, apply the given inputs in X and Y and calculate the X percent of Y.
Later, you will get the final output value for X% of Y.

To provide better knowledge on how to calculate x percent of y, we have taken an example and solved it in detailed steps in order to understand the concept and work behind every Math calculation. So, look at the real-world problems as an example from here and understand how to calculate the X percent of Y easily without any support.

Solved Real-world Example to find X% of Y

Example:

America has a sales tax of 19.6 percent. If we purchased a car for $25,000, how much would we pay for the car if we bought it in the USA?

Solution:

Percentage solution with steps:
Step 1: Our output value is 25000.
Step 2: We represent the unknown value with x.
Step 3: From step 1 above, 25000=100%.
Step 4: Similarly, x=19.6%.
Step 5: This results in a pair of simple equations:
Step 6: By dividing equation 1 by equation 2 and noting that both the RHS (right-hand side) of both equations have the same unit (%); we have
⇒ 25000o/x = 100%/19.6%
Step 7: Again, the reciprocal of both sides gives
⇒ x/25000 = 19.6/100
⇒ x = 4900

Therefore, 19.6% of 25,000 is 4900.

How to use the Percentage Calculator?

If you are looking for the steps on how the percentage calculator works and determine the X percent of Y then here are the detailed steps for you. If you follow these simple steps then you will understand completely about how to use percentage calculator and make your real-world percentage calculations in less time.