# 65% of what number is 26?

##### 1 Answer

Nov 21, 2016

#### Explanation:

**information needed**

*of what number is*

**concepts applied**

*percent to fraction conversion*

*fractional division*

**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**