Question

65% of what number is 26?

Answer 1

`x=40`

Explanation:

information needed
`65%` of what number is `26`?

concepts applied
percent to fraction conversion `65%=65/100`
fractional division `a\divb/c=a\timesc/b`

calculation

• set the number you want to find as `x`
• apply dimensional analysis with conversion factor `65/100`
  `\rArrx\times65/100=26`
• divide both sides by `65/100` `\rArrx\cancel(\times65/100)\cancel(\color(indianred)(\times100/65))=26\color(indianred)(\times100/65)`
• simplify multiplication
  `\rArrx=(26\times100)/65=2600/65`

solution
`\rArrx=40`