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Percentage Greater than 100

Percentage is a method of showing the data in the form of fraction with the denominator 100. The percentage of the data is shown by the symbol “%” or “pct”. Percentages can be used to compare one quantity with another quantity.. There are various method to find percentage of a quantity. So percentage is basically used to compare two quantity.

Percentage conversions

  • Percentage conversion is relationship between numbers. A percentage is written in the form of fraction with a specific number divided by 100.
  • To change a $\frac{1}{4}$ to a % multiplies by 100.( i.e. $\frac{1}{4}$ x 100 = $\frac{100}{4}$ = 25 %)
  • To change a % to an the form of fraction number divide by 100. I.e. 50 % = $\frac{50}{100}$ equals $\frac{1}{2}$ or half. The same fractions may be essential to find out lowest terms.

To find percentage of the data, the data are multiplied with the percent and then divided by 100. If there is any decimal place, we have to round it to the required decimal position.

Percentage greater than 100

If percentage is given more than 100 then we still use same method.

Example: if we have to find 120% of 50 then it will be equal to $\frac{50\times120}{100}$ = 60

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Calculate Percentage Greater than 100

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Below you can see the examples on calculate percentage greater than 100

Solved Examples

Question 1: Find 110 % for the data 80.
Solution:
 
110 % of 80 = $\frac{80\times110}{100}$

= $\frac{8800}{100}$ = 88
 

Question 2: Find 120% of 95
Solution:
 
120 % of 95 = $\frac{120\times95}{100}$

= $\frac{11400}{100}$ = 114
 

Question 3: How much percent of 50 is equal to 105?
Solution:
 
let x % of 50 = 105

So $\frac{50x}{100}$ = 105

50x = 105 × 100

x = $\frac{10500}{50}$ = 210 %
 

Question 4: Find 500 % of 100.
Solution:
 
500 % of 100 is equal to

100 x $\frac{500}{100}$ = 500

So the answer is 500.
 

Question 5: Find the 280 % of 50
Solution:
 
here we have to find 280 % of 50

So 280 % of 50 = 50 x 280100 = 140

So the answer is 140

 

Percent Greater than 100 Practice Problems

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Practice Problems

Question 1: Find 110% for the data 143.
Question 2: Find 150% for the data 253.
Question 3: 55 is what % of 10?
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