# If 40% of a number, k, is 160, what is the value of k?

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### 2 Answers

The number is K

And 40% of the K =160

But 40% = 40/100 = 2/5

then 40%(K)= 160

==> (2/5)K = 160 ....... now multiply by 5/2 so K factor will be 1

==> K = 160(5/2) = 400

then the K number is 400

To check our answer: 40% (400) = (40/100) 400 = 160

40% of k = 160. To find k.

Solution:

40% of k = 160. So

(40/100)k = 160. Multiply both sides by 100/40 to get.

k = 160(100/40) = 400.

Ceck: 40% of 400 = (40/100)400 = 40*4 = 160