Question

A company is expanding its building area from 16,000 square feet to 19,360 square feet. What is the percentage increase of the area of the building space?

2.1%
21%
79%
33.6%

Answer 1

so assume that 16000=100% and 19360 is x%
%=parts out of 100 so
100%=100/100
16000=100%
since they should be the same
16000/100=19360/x
multiply both sides by x/19360 to clear fraction
16000x/1936000=1
simplify
x/121=1
multiply both sides by 121
x=121


19360 is 121%

the increase is 121-100=21% increase


the increase is 21%