Question

40% of what number is 34?

Answer 1

x - the number


`40\% x=34 \\ (40)/(100)x=34 \\ (2)/(5)x=34 \\ x=34 * (5)/(2) \\ x=17 * 5 \\ x=85`

40% of 85 is 34.

Answer 2

p%=
`(p)/(100)` ⇒
`(40)/(100)= (40/20)/(100/20)= (2)/(5)`


`\hbox { So, } (2)/(5)\cdot x=34` ⇒
`(2x)/(5)=34` ⇒
`2x=34\cdot5`


`2x=170` ⇒
`\boxed { x=85 }`