4.1: Percentage Basics
- Page ID
- 139269
\( \newcommand{\vecs}[1]{\overset { \scriptstyle \rightharpoonup} {\mathbf{#1}} } \)
\( \newcommand{\vecd}[1]{\overset{-\!-\!\rightharpoonup}{\vphantom{a}\smash {#1}}} \)
\( \newcommand{\id}{\mathrm{id}}\) \( \newcommand{\Span}{\mathrm{span}}\)
( \newcommand{\kernel}{\mathrm{null}\,}\) \( \newcommand{\range}{\mathrm{range}\,}\)
\( \newcommand{\RealPart}{\mathrm{Re}}\) \( \newcommand{\ImaginaryPart}{\mathrm{Im}}\)
\( \newcommand{\Argument}{\mathrm{Arg}}\) \( \newcommand{\norm}[1]{\| #1 \|}\)
\( \newcommand{\inner}[2]{\langle #1, #2 \rangle}\)
\( \newcommand{\Span}{\mathrm{span}}\)
\( \newcommand{\id}{\mathrm{id}}\)
\( \newcommand{\Span}{\mathrm{span}}\)
\( \newcommand{\kernel}{\mathrm{null}\,}\)
\( \newcommand{\range}{\mathrm{range}\,}\)
\( \newcommand{\RealPart}{\mathrm{Re}}\)
\( \newcommand{\ImaginaryPart}{\mathrm{Im}}\)
\( \newcommand{\Argument}{\mathrm{Arg}}\)
\( \newcommand{\norm}[1]{\| #1 \|}\)
\( \newcommand{\inner}[2]{\langle #1, #2 \rangle}\)
\( \newcommand{\Span}{\mathrm{span}}\) \( \newcommand{\AA}{\unicode[.8,0]{x212B}}\)
\( \newcommand{\vectorA}[1]{\vec{#1}} % arrow\)
\( \newcommand{\vectorAt}[1]{\vec{\text{#1}}} % arrow\)
\( \newcommand{\vectorB}[1]{\overset { \scriptstyle \rightharpoonup} {\mathbf{#1}} } \)
\( \newcommand{\vectorC}[1]{\textbf{#1}} \)
\( \newcommand{\vectorD}[1]{\overrightarrow{#1}} \)
\( \newcommand{\vectorDt}[1]{\overrightarrow{\text{#1}}} \)
\( \newcommand{\vectE}[1]{\overset{-\!-\!\rightharpoonup}{\vphantom{a}\smash{\mathbf {#1}}}} \)
\( \newcommand{\vecs}[1]{\overset { \scriptstyle \rightharpoonup} {\mathbf{#1}} } \)
\( \newcommand{\vecd}[1]{\overset{-\!-\!\rightharpoonup}{\vphantom{a}\smash {#1}}} \)
Percent literally means "per 100 ," or "parts per hundred." When we write \(40 \%\), this is equivalent to the fraction \(\dfrac{40}{100}\) or the decimal 0.40 . Notice that 80 out of 200 and 10 out of 25 are also \(40 \%\), since \(\dfrac{80}{200}=\dfrac{10}{25}=\dfrac{40}{100}\).
Write each as a percent:
a) \(\dfrac{1}{4}\)
b) 0.02
c) 2.35
Solution
a) \(\dfrac{1}{4}=0.25=25 \%\)
b) \(0.02=2 \%\)
c) \(2.35=235 \%\)
|
Fraction |
Decimal |
Percent |
|---|---|---|
|
\(\dfrac{3}{5}\) |
||
|
0.02 |
||
|
0.72 |
72 % |
|
|
0.025 |
||
|
\(4 \dfrac{1}{2}\) |
- Answer
-
Fraction
Decimal
Percent
\(\dfrac{3}{5}\)
0.6
60%
\(\dfrac{2}{100} = \(\dfrac{1}{50}\)
\)0.02
2%
\(\dfrac{72}{100} = \(\dfrac{18}{25}\) \)0.72
72 %
\(\dfrac{25}{1000} = \(\dfrac{1}{40}\) \)0.025
2.5%
\(4 \dfrac{1}{2}\)
4.5
450%