85% Of 78.00 Is What Amount? 45% Of 70 Is What Number? 7 Is 35% Of…

85% of 78.00 is what amount?
45% of 70 is what number?
7 is 35% of what number?
110% of what amount is 660.00?
120.00 is 180% of what amount?
125 is 250% of what number?
what percent of 16 is 64?
85 is what percent of 340?
13 1/3 is 26 2/3% of what number?
0.5% of what number is 2.5?

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Answer:

1. 85% of 78.00 is what amount?

[tex]78 \times 85\%[/tex]

[tex]78 \times \frac{85}{100} [/tex]

[tex]78 \times \frac{85 \div 5}{100 \div 5} [/tex]

[tex]78 \times \frac{17}{20} [/tex]

[tex]39 \times \frac{17}{10} [/tex]

[tex] = \frac{663}{10} \: or \: 66 \frac{3}{10} \: or \: 66.3[/tex]

2. 45℅ of 70 is what number?

[tex]70 \times 45\%[/tex]

[tex]70 \times \frac{45}{100} [/tex]

[tex]70 \times \frac{45 \div 5}{100 \div 5} [/tex]

[tex]70 \times \frac{9}{20} [/tex]

[tex]7 \times \frac{9}{2} [/tex]

[tex] = \frac{63}{2} \: or \: 31 \frac{1}{2} \: or \: 31.5[/tex]

3. 7 is 35℅ of what number?

[tex]7 \times 35\%[/tex]

[tex]7 \times \frac{35}{100} [/tex]

[tex]7 \times \frac{35 \div 5}{100 \div 5} [/tex]

[tex]7 \times \frac{7}{20} [/tex]

[tex] = \frac{49}{20} \: or \: 2 \frac{9}{20} \: or \: 2.45[/tex]

4. 110℅ of what amount is 660.00?

[tex]660 \times 110\%[/tex]

[tex]660 \times \frac{110}{100} [/tex]

[tex]660 \times \frac{110 \div 10}{100 \div 10} [/tex]

[tex]660 \times \frac{11}{10} [/tex]

[tex]66 \times 11[/tex]

[tex] = 726[/tex]

5. 120.00 is 180℅ of what amount?

[tex]120 \times 180\%[/tex]

[tex]120 \times \frac{180}{100} [/tex]

[tex]120 \times \frac{180 \div 20}{100 \div 20} [/tex]

[tex]120 \times \frac{9}{5} [/tex]

[tex]24 \times 9[/tex]

[tex] = 216[/tex]

6. what percent of 16 is 64

[tex]16 \div 64[/tex]

[tex]0.25 \times 100[/tex]

[tex] = 25\%[/tex]

7. 85 is what percent of 340

[tex]85 \div 340[/tex]

[tex]0.25 \times 100[/tex]

[tex] = 25\%[/tex]

8. 13 1/3 is 26 2/3℅ of what number?

[tex]13 \frac{1}{3} \times 26 \frac{2}{3} \%[/tex]

[tex] \frac{13 \times 3 + 1}{3} \times 26 \frac{2}{3} \%[/tex]

[tex] \frac{40}{3} \times 26 \times \frac{ \frac{2}{3} }{100} [/tex]

[tex] \frac{40}{3} \times 26 \times \frac{2}{3} \div 100[/tex]

[tex] \frac{40}{3} \times 26 \times \frac{2}{3} \times \frac{1}{100} [/tex]

[tex] \frac{40}{3} \times 26 \times \frac{2 \times 1}{3 \times 100} [/tex]

[tex] \frac{40}{3} \times 26 \times \frac{1}{3 \times50 } [/tex]

[tex] \frac{40}{3} \times 26 \times \frac{1}{150} [/tex]

[tex] \frac{4}{3} \times 26 \times \frac{1}{15} [/tex]

[tex] \frac{4}{3} \times \frac{26}{1} \times \frac{1}{15} [/tex]

[tex] = \frac{104}{45} \: or \: 2 \frac{14}{45} \: or \: 2.31[/tex]

9. 0.5℅ of what number is 2.5?

[tex]2.5 \times 0.5\%[/tex]

[tex]2.5 \times \frac{0.5}{100} [/tex]

[tex]2.5 \times 0.005[/tex]

[tex] = 0.0125[/tex]

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