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40% of what number is 34?

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Naǫid
x - the number

[tex]40\% x=34 \\ \frac{40}{100}x=34 \\ \frac{2}{5}x=34 \\ x=34 \times \frac{5}{2} \\ x=17 \times 5 \\ x=85[/tex]

40% of 85 is 34.
ValyRemusid
p%=[tex] \frac{p}{100} [/tex] ⇒ [tex] \frac{40}{100}= \frac{40\div20}{100\div20}= \frac{2}{5} [/tex]

[tex]\hbox { So, } \frac{2}{5}\cdot x=34 [/tex] ⇒ [tex] \frac{2x}{5}=34 [/tex] ⇒ [tex]2x=34\cdot5[/tex]

[tex]2x=170[/tex] ⇒ [tex]\boxed { x=85 }[/tex]

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