Question

What percent of 180 is 8

Answer 1

`\large\text{8 is}\ 4(4)/(9)\%\ \text{of 180}`

Explanation:

`\text{What percent of 180 is 8}\\\\METHOD\ 1:\\\\\begin{array}{ccccc}180&-&100\%&\text{divide both sides by 90}\\\\2&-&(100)/(90)\%=(10)/(9)\%&\text{multiply both sides by 4}\\\\8&-&(40)/(9)\%=4(4)/(9)\%\end{array}`

`METHOD\ 2:\\\\\begin{array}{ccc}180&-&100\%\\\\8&-&p\%\end{array}\qquad\text{cross multiply}\\\\\\180p=(8)(100)\qquad\text{divide both sides by 180}\\\\p=(800)/(180)\\\\p=(80)/(18)\\\\p=(40)/(9)\\\\p=4(4)/(9)`

`METHOD\ 3:\\\\(8)/(180)\cdot100\%=(8)/(18)\cdot10\%=(4)/(9)\cdot10\%=(40)/(9)\%=4(4)/(9)\%`

Answer 2

P =4 4/9%

Explanation:

Of means multiply and is means equals

P *180 = 8

Divide each side by 180

P*180/180 = 8/180

P =.04444444

Multiply by 100 to get percent

P =4.44444444%

P =4 4/9%