Question

82 is 70 percent of what number?

160 is 120 percent of what number?
please explain me how you got the answerand what you did to get the answer

Answer 1

there is a percent formula : is/of = %/100

82 is 70% of what number
is = 82
% = 70
of = x
now we sub
82/x = 70/100....this is a proportion, so we cross multiply
(70)(x) = (82)(100)
70x = 8200...divide both sides by 70
x = 8200/70
x = 117.14 <===82 is 70% of 117.14
============================
160 is 120% of what number....
is = 160
% = 120
of = x

now we sub into the percent formula
160/x = 120/100...cross multiply
(120)(x) = (160)(100)
120x = 16000..divide by 120
x = 16000/120
x = 133.33<==160 is 120% of 133.33