For example:
\(58\text {%} \) means \(58\) out of \(100\).
For example:
\(58\text {%} \) means \(58\) out of \(100\).
A \(25\) added to \(100\)
B \(25\) out of \(100\)
C \(25\) multiplied by \(100\)
D \(25\) subtracted from \(100\)
Case 1: When the denominator of the fraction is \(100\)
For example: \(\dfrac {25}{100},\;\dfrac {56}{100},\;\dfrac {16}{100},\;\dfrac {2}{100}\) etc.
Example: \(\dfrac {25}{100}=25\) out of \(100=25\text{%}\)
Case 2: When the denominator of the fraction is not \(100\)
Consider the following example: Write \(\dfrac {3}{4}\) as a percent.
\(\dfrac {3}{4}=\dfrac {?}{100}\)
To get \(100\) in the denominator in place of \(4\), multiply \(4\) with \(25\).
\(4×25=100\)
Thus, we have to multiply the numerator \((3)\) also with \(25\) (to get equivalent fraction).
\(3×25=75\)
Now, \(\dfrac {3}{4}=\dfrac {75}{100}\)
Thus, \(\dfrac {75}{100}=75\) out of \(100=75\text {%}\)
So, we can write \(\dfrac {3}{4}\) as \(75\text {%}\).
A \(\dfrac {1}{2}=25\text {%}\)
B \(\dfrac {7}{100}=0.7\text {%}\)
C \(\dfrac {23}{100}=57\text {%}\)
D \(\dfrac {4}{5}=80\text {%}\)
For example: Write \(0.23\) as a percent.
Step: 1 Move the decimal point two places to the right.
Step: 2 Add the \(\text{%}\) (Percent) sign at the end.
\(0.23=23\text{%}\)
Now consider the following cases:
Case-I: If the decimal has zeros
For example: 0.06
Case-II: If the decimal does not have two decimal places
For example: \(0.3\)
Case-III: If the decimal has more than two decimal places
For example: \(0.125\)
Now, we have a percent which also has a decimal.
A \(70\text {%}\)
B \(7\text {%}\)
C \(0.7\text {%}\)
D \(0.07\text {%}\)
From the circle graph, we can say that the city has
Adults \(=30\text {%}\)
Children \(=25\text {%}\)
Teenagers \(=45\text {%}\)
Brown \(=19\text {%}\)
Pink \(=18\text {%}\)
Yellow \(=7\text {%}\)
Red \(=27\text {%}\)
Green \(=6\text {%}\)
Thus, the question arises,
"What percent of the circle shows the blue color?"
To find the answer, we should do the following steps:.
The circle graph always represents the \(100\text {%}\).
\(\therefore\) Percent of blue color
\(=100\text {%}-\) (Sum of the given data)
The sum of the given data \(=19\text {%}+18\text {%}+7\text {%}+27\text {%}+6\text {%}\)
\(=77\text {%}\)
\(\therefore\) Percent of blue color \(=100\text {%}-77\text {%}\) \(=23\text {%}\)
A \(31\text {%}\)
B \(30\text {%}\)
C \(15\text {%}\)
D \(22\text {%}\)
For example:
Convert \(25\text {%}\) to a fraction.
\(25\text {%}=\dfrac {25}{100}\)
So, \(\dfrac {25 \div25}{100\div25}=\dfrac {1}{4}\)
The fraction form of \(25\text {%}\) is \(\dfrac {1}{4}\).
So, \(\dfrac {25 \div25}{100\div25}=\dfrac {1}{4}\)
The fraction form of \(25\text {%}\) is \(\dfrac {1}{4}\).
A \(\dfrac {2}{5}\)
B \(\dfrac {3}{4}\)
C \(\dfrac {9}{25}\)
D \(\dfrac {3}{8}\)
A decimal can be converted to a percent and vice versa, as they both are parts of a whole.
To convert a percent to a decimal, consider the following steps:
For example: Convert \(26\text {%}\) into a decimal.
Step 1: Remove the \(\text {%}\) sign, so we get \(26\).
Step 2: Put the decimal point two places to the left.
Thus, \(26\text {%}=0.26\)
Consider the following two cases:
(i) To convert a single digit percent
For example: \(6\text {%}\)
Here, the percent doesn't have two digits, thus add a zero to the left of \(6\), i.e.
\(6=06\)
Now, put the decimal point two places to the left.
(ii) To convert a percent having a decimal
For example:
Here, \(1.5\) already has a decimal point. Thus, shift the decimal point two places to the left.
A \(1.25\)
B \(12.5\)
C \(0.125\)
D \(0.0125\)
For writing them in the given order, first we need to convert them into the same form, that may be percent, decimal or fraction form.
Here, we are converting them into the percent form.
Step 1: Convert \(2\dfrac {1}{5}\) into a percent.
\(2\dfrac {1}{5}=\dfrac {(2×5)+1}{5}=\dfrac {10+1}{5}=\dfrac {11}{5}\)
\(\dfrac {11}{5}=\dfrac {11×20}{5×20}=\dfrac {220}{100}=220\text{%}\)
Step 2: Convert \(4.05\) into a percent.
Here, \(37.5\text {%}\) doesn't need to be converted as it is already in percent form.
Now, we have \(220\text {%},\;405\text {%}\) and \(37.5\text {%}\) to compare.
Step-3: Arrange in the order of least to greatest.
\(37.5\text{%}<220\text{%}<405\text{%}\)
\(\therefore\) The order from least to greatest is \(37.5\text {%}\), \(220\text {%}\), \(405\text {%}\)
Step-4: Write the original numbers in the required order.
\(37.5\text{%},\;2\dfrac {1}{5},\;4.05\)
A \(\dfrac {1}{5},\;0.5,\; 5\text{%}\)
B \(5\text{%},\;0.5,\;\dfrac {1}{5}\)
C \(5\text{%},\;\dfrac {1}{5},\;0.5\)
D \(\dfrac {1}{5},\;5\text{%},\;0.5\)
We know that a percent means out of \(100\).
\(\therefore\) \(36\text {%}=36\) out of \(100\)
\(36\text {%}=\dfrac {36}{100}\)
Since the fraction is not in simplified form, so we divide it by the greatest common factor (G.C.F.).
The G.C.F. of \(36\) and \(100\) is \(4\).
Thus, \(\dfrac {36\div4}{100\div4}=\dfrac {9}{25}\)
We have \(36\text {%}=\dfrac {36}{100}\)
[\(a:b\) is written as \(\dfrac {a}{b}\)]
\(\therefore\;\;\dfrac {36}{100}=36:100\)
\(=36\text { out of } 100\)
To convert a percent to a decimal, we first remove the % sign.
\(36\text {%}=36\)
Now, place the decimal point two places to the left,
\(36\text {%}=.36\)
Hence, we can write all the forms together as:
\(36\text {%}=\dfrac {36}{100}=36:100=.36\)
A Percent Fraction Ratio Decimal 60% \(\dfrac {2}{5}\) 2 : 5 0.60 35% \(\dfrac {3}{40}\) 3 : 40 3.5 80% \(\dfrac {4}{5}\) 4 : 5 0.80 25% \(\dfrac {3}{4}\) 3 : 4 0.25
B Percent Fraction Ratio Decimal 60% \(\dfrac {3}{5}\) 5 : 3 0.60 40% \(\dfrac {3}{40}\) 3 : 40 0.30 5% \(\dfrac {4}{5}\) 5 : 4 0.80 25% \(\dfrac {5}{2}\) 5 : 2 0.25
C Percent Fraction Ratio Decimal 60% \(\dfrac {3}{5}\) 3 : 5 0.60 7.5% \(\dfrac {3}{40}\) 3 : 40 0.075 80% \(\dfrac {4}{5}\) 4 : 5 0.80 25% \(\dfrac {1}{4}\) 1 : 4 0.25
D Percent Fraction Ratio Decimal 60% \(\dfrac {3}{2}\) 2 : 3 0.60 30% \(\dfrac {3}{40}\) 3 : 40 0.40 40% \(\dfrac {4}{5}\) 8 : 100 0.80 25% \(\dfrac {1}{5}\) 5 : 1 0.25