What number is 32% of 50?

2 Answers
Mar 12, 2018

#32% " of " 50 = 16#

Explanation:

There are a couple ways to do this, but a recent 'trick' I learned is that:

#x% " of " y = y% " of " x#

Using this 'trick' you can substitute #32% " of " 50 " with " 50% " of " 32#.

#50%# is the same as saying #1/2#, so #32/2 = 16.#

As a check, we'll do the other way, longhand:

The decimal form of #32%" is " 0.32#

#50xx0.32=(50xx0.3)+(50xx0.02)#
#50xx0.3= 5xx3 = 15#
#50xx0.02=5xx0.2=1#
#15+1=16#

Mar 12, 2018

#16#

Explanation:

Breaking down the word percent we get per, meaning out of, and cent, meaning #100#. A percentage can be though of as our number out of #100# or #n/100#. In this case our #n# is 32, therefore, #32% = 32/100#. We can now determine #32%# of #50# by multiplying the two.
#32/100 * 50 = 16#.