Online Percentage Calculator is simply the fastest way to calculate and visualize all kinds of percentages like Discounts, Tips, Interest, and others.
A percentage is a figure that is expressed as a fraction of a hundred. The denominator will always remain 100 while the numerator continually changes. It was initially derived from the Latin word per vent, which directly translates to 'out of a hundred.' A half would automatically mean 50.
There are various advantages of working with percentages, starting with it being elementary and straightforward. Percentages may be similar to fractions, but they are easier to deal with because they only have one denominator, i.e., 100.
You can also use a calculator to make things simpler for you. All that is needed is to specify the type of fraction and then input the required numbers. Once you press enter or 'calculate,' you will automatically get your answer. Above is the tool given. Simply fill the required digits and tap enter and it’s done.
Type 1: What is x% of y?
Given below are some examples to explain type 1 better.
Example 1: What is 10% of 70?
For these sorts of questions, the answer is found very quickly. Most people would solve it by finding out one-tenth of a hundred (which is 10) and then dividing the number by that. This gives you seven as the answer.
10% = 10
70/10 = 7 (Final answer)
But this method doesn't work well for more significant and more complicated numbers.
Example 2: What is 24% of 44?
These types of questions are tricky since you cannot merely find out 24%. Neither is it a simple fraction, nor can you work out what 24% is as a fraction quickly. So, what you need to do is divide 44 into 100 equal parts. This will give you 0.44; you will multiply 24 by it to get the final number.
44 ÷ 100 = 0.44 (Notice that when you divide by 100, you need to move the decimal point twice to the left)
0.44 × 24 = 10. 56 (This is the final answer to the question)
Type 2: What is x as a percentage of y?>
You need to think of these types of questions as converting a fraction into a percentage. Your fraction can be said to be x/y, and your percentage would be a/100 (a is the unknown number over here)
x/y = a/100
The simplest way you can do this is by shifting the fraction around. When you multiply both sides by 100, A (your unknown number) will become 100x divided by the number that substitutes y.
You need to substitute each letter with the corresponding number, and you will get the right answer. Given below are some examples to help clear out how this method works.
Example: What is 10 as a percentage of 20?
Try substituting the letters for the numbers in the formula given and then solving the whole equation step by step.
x/y = a/100
x = 10
y = 20
Multiply both sides by 100
10 x 100 = 1000
And now, you will have to divide x by y to get the answer to your unknown number.
1000/ 20 = 50 (a = 50)
Type 3: If x is y percent, what is the whole? (Whole refers to 100 percent)
This type requires a different kind of method to solve it as well. However, unlike type 2, the positions of a and y are switched.
x/a = y/100
You need to isolate a by shifting everything onto the opposite side of the equal (=) sign.
A = 100x / y
Example: If 10 is 20%, what is the total?
First, you will need to find out the numbers that substitute each letter. Then solve the equation and find out the total using the formula given above.
X = 10
Y = 20
100 × 10 = 1000 (This shows x being substituted by 10 and multiplying it by 100)
1000/ 20 = 50 (the missing number is therefore 50)
A percentage is a fraction, where the denominator (the number below the fraction line) will always be 100. This means you will not need to worry about the denominator's ever-changing because it will remain the same with different numerators. There will be no problems regarding the numerator being bigger or reducing it to the lowest form possible.
When dealing with a percentage, you only need to see how many places and where the decimal needs to be moved. It either moves to the right or left of a number, depending on how big or small it is.
You visit a paint shop and want to purchase some paint boxes for yourself. However, the VAT (sales tax) isn't mentioned anywhere, and you want to know how much is the cost for the tax. VAT is always charged at 20 prevent, so you need to find out 20 percent of your paint boxes' cost and then add it to the total to get the final amount you need to pay.
1 box of paint costs $4, and you are purchasing 3 of them.
$4 x 3 = $12
Now you need to find the VAT
20% of 12
20/ 100 x 12
12/ 5 = 2.4
After finding the VAT, you need to add it to the total to get the final amount you need to pay.
2.4 + 12 = $14.4 (This is the total amount you will need to pay)
You have been quoted a commission of $7.50 by one company during the sale of a table. Another firm offers you a quoted commission of 4.5%. The table's sale price is $150, and you want to find out which value is better.
This situation is asking you, 'What is $7.50 as a percent of $150.' Using the formula for type 2 percentage, you will have to substitute the letters to numbers and solve it accordingly.
7. 5 x 100 = 750
750/ 150 = 5
So, the commission for $7.50 will be 5% on the sale price of the table. Therefore, the commission of 4% offered by the other company is a better option for you as a client.
Interest rates are often given in the form of a percentage, which means that all bank-related number problems nearly always involve percentages. So, understanding how to calculate a percentage saves a lot of time, money to buy expensive machines to do the calculations and prevents any hassle from happening.