279 is 60% of what

Question

How much is 40% greater than 279.

Answer 1

279=60% of what = 0.6w, where w is what. So w=279/0.6=465.

Answer 2

Let the unknown number be x.   Since 60% of x is 279, we have: (60/100)x=279.

Here, 60/100 simplifies to 3/5 because the GCF 60 and 100 is 20, so the equation above can be rewritten: (3/5)x=279 

Multiply both sides by 5: 3x=5·279   Divide both sides by3 to get x by itself, 

we have: x=5(279/3)=5·93=465

CK: The difference between the quantity of 100% and 60% is 40%, that is: (40/100)x

Here,40/100 simplifies to 2/5, so 40% of x is: (40/100)x=2x/5

Substitutes x=465 for x, we have: 2x/5=2(465/5)=2·93=186, so 186+279=465 CKD.

The answer: the unknown number is 465.