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3. Conversion methods of percentage part-2

4. Conversion of ratio into percent

We can convert ratio into a percentage using the following method.

Example:

(i) $a:b$

\begin{array}{l} = \frac{a}{b} \\ = [\frac{a}{b} \times 100] % \end{array}

(ii) $3:8$

\begin{array}{l} = \frac{3}{8} \\ = [\frac{3}{8} \times 100] % \\ = 37 \frac{1}{2} % \end{array}

5. Conversion of Percent into decimal

To convert the percent to decimal, first change it to a fraction by dividing it by $1000$ and remove the $\%$ sign. Then put the decimal point accordingly.

$a\%$ $= a/100$ $= 0.0a$

(percent) (fraction) (decimal)

Example:

(i) 37$\%$

$=$

\frac{37}{100}

$=$ 0.37$\%$

(ii) 49$\%$

$=$

\frac{49}{100}

$=$ 0.49$\%$

(iii)

\frac{2}{8} %

$=$

\frac{2}{8 \cdot 100}

$=$ 0.003$\%$

6. Conversion of decimal into a Percent

To convert decimal into a percent, first, change it to fraction for the removal of decimal and then multiply it by $100$ and put the $\%$ sign.

Example:
(i) 5.8

$=$ $\frac{58}{10}$

$=$ $[\frac{58}{10} \times 100] %$

$=$ 580$\%$

(ii) 0.042

$=$ $\frac{42}{1000}$

$=$ $\frac{42}{1000} \cdot 100$

$=$ 4.2$\%$

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3. Conversion methods of percentage part-2

Theory: