Percentage free online calculator

What Is A Percentage?

• One percent (1%) means 1 per 100.
• Word "percent" comes from Latin (per centum).
• It is shown by the symbol %.
• Used in Math.

How Percentage (%) Is Defined?

Percentage is per-cent which means parts per hundred, it describes how many parts there are out of one hundred parts of a particular thing.

More Detailed Percent Explanation

One percent is equal to 1/100 fraction:

1% = 1/100 = 0.01

Ten percent is equal to 10/100 fraction:

10% = 10/100 = 0.1

Fifty percent is equal to 50/100 fraction:

50% = 50/100 = 0.5

One hundred percent is equal to 100/100 fraction:

100% = 100/100 = 1

One hundred and ten percent is equal to 110/100 fraction:

110% = 110/100 = 1.1

A fraction or ratio with 100 understood as the denominator; for example, 0.98 equals a percentage of 98. The result is obtained by multiplying a quantity by a percent.

Percentage Sign And History

Word "percent" comes from Latin (per centum). In English it means "out of hundred". It is shown by the symbol %.

It is written to the right side of the number: 50%

Formula For Calculation Of Percentage Increase/Decrease

• When a quantity grows (gets bigger), then we can compute its PERCENT INCREASE:
• $\text{PERCENT INCREASE}=\frac{{\displaystyle (\text{new amount}-<!--\; -\; -->\text{original amount})}}{{\displaystyle \text{original amount}}}\cdot <!--\; \cdot \; -->100\mathrm{\%<!--\; \%\; -->}$
• When a quantity shrinks (gets smaller), then we can compute its PERCENT DECREASE:
• $\text{PERCENT DECREASE}=\frac{{\displaystyle (\text{original amount}-<!--\; -\; -->\text{new amount})}}{{\displaystyle \text{original amount}}}\cdot <!--\; \cdot \; -->100\mathrm{\%<!--\; \%\; -->}$
• If you have still problem to get to the result, use our percentage calculator in the top of the page.

How To Calculate Percentage Increase

• First: work out the difference (increase) between the two numbers you are comparing.
• Increase = New Number - Original Number
• Then: divide the increase by the original number and multiply the answer by 100.
• % increase = Increase ÷ Original Number × 100.
• If your answer is a negative number then this is a percentage decrease.

To Calculate Percentage Decrease:

• First: work out the difference (decrease) between the two numbers you are comparing.
• Decrease = Original Number - New Number
• Then: divide the decrease by the original number and multiply the answer by 100.
• % Decrease = Decrease ÷ Original Number × 100
• If your answer is a negative number then this is a percentage increase.
• If you wish to calculate the percentage increase or decrease of several numbers then we recommend using the first formula.
• Positive values indicate a percentage increase whereas negative values indicate percentage decrease.

How Do You Increase A Number By A Certain Percentage?

The concept of percent increase is basically the amount of increase from the original number to the final number in terms of 100 parts of the original. An increase of 5 percent would indicate that, if you split the original value into 100 parts, that value has increased by an additional 5 parts. So if the original value increased by 14 percent, the value would increase by 14 for every 100 units, 28 by every 200 units and so on. To make this even more clear, we will get into an example using the percent increase formula in the next section.

Percent increase formula

Percent increase = [(new value - original value)/original value] * 100

Examples - Percentage Increase And Decrease

In January Dylan worked a total of 35 hours, in February he worked 45.5 hours – by what percentage did Dylan’s working hours increase in February?

To tackle this problem first we calculate the difference in hours between the new and old numbers. 45.5 - 35 hours = 10.5 hours. We can see that Dylan worked 10.5 hours more in February than he did in January – this is his increase. To work out the increase as a percentage it is now necessary to divide the increase by the original (January) number:

10.5 ÷ 35 = 0.3

Finally, to get the percentage we multiply the answer by 100. This simply means moving the decimal place two columns to the right.

0.3 × 100 = 30

Dylan therefore worked 30% more hours in February than he did in January.

In March Dylan worked 35 hours again – the same as he did in January (or 100% of his January hours). What is the percentage difference between Dylan’s February hours (45.5) and his March hours (35)? You may think that as there was a 30% increase between Dylan’s January hours (35) and February (45.5) hours that there will be a 30% decrease between his February and March hours. This assumption is incorrect – let’s calculate the difference.

First calculate the decrease in hours, that is: 45.5 - 35 = 10.5

Then divide the decrease by the original number (February hours) so:

10.5 ÷ 45.5 = 0.23 (to two decimal places).

Finally multiply 0.23 by 100 to give 23%. Dylan’s hours were 23% lower in March than in February.

Sometimes it is easier to show percentage decrease as a negative number – to do this follow the formula above to calculate percentage increase – your answer will be a negative number if there was a decrease. In Dylan’s case the decrease works out at -15.5. -10.5 ÷ 45.5 = -0.23. -0.23 × 100 = -23%.

Dylan's hours could be displayed in a data table as:

What Is X As A Percent Of Y

Use our online percentage calculator find the proportion of one number to another in percentage terms.

Examples Of Finding X As A Percent Of Y

Think of this as turning a fraction into a percentage. Your fraction is x/y, and your percentage is [unknown, here] A/100.

x/y = A/100

The easiest way to do these, then, is to move the fraction around. If you multiply both sides by 100, you get A (your unknown) = 100x divided by y. Just plug in the numbers and out will come the answer. Some examples may make this even clearer.

What is 10 as a percent of 50?

Using the formula that we have just worked out, x is 10 and y is 50. The sum is therefore:v

100 × 10 = 1000

1000 ÷ 50 = 20.

Answer: 10 is 20% of 50.

This method, of course, also works with a more word-based problem.

You have been quoted commission of $7.50 on the sale of a table. The sale price is $150.

Another company has quoted you commission of 4.5%. You want to know which is better value.

This is asking you ‘What is $7.50 as a percent of $150?’.

Using the formula, therefore, x is 7.5 and y is 150.

7.5 × 100 = 750

750 ÷ 150 = 5.

Answer: The commission is 5% on the sale price. The commission of 4.5% is therefore better value for you as a customer.

Fractions, Decimals and Percentages

Fractions, decimals and percentages are just different ways to show the same values. In the graph below you can see first fraction, percentage and decimals. Try to click in the fields below to see what is the difference between fraction, percentage and decimals values.

Just imagine you have pie and you slice him into 100 pieces. One slice is 1 percent of the whole pie. This is very important how to work with percents.

Example Values - Pie And Percentage Calculation

Here is a table of commonly used values shown in Percent, Decimal and Fraction form: