SOLUTION: I accidentally decreased a number by 60% instead of increasing it by 60%. This incorrect value now needs to be increased by k% to get to the correct value.What is the value if k?

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Question 1111252: I accidentally decreased a number by 60% instead of increasing it by 60%. This incorrect value now needs to be increased by k% to get to the correct value.What is the value if k?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
+k%2F100+ is the decimal value
If +n+ is the original number, I want
to end up with +1.6n+
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I'm starting with +n+-+.6n+=+.4n+
+%28k%2F100%29%2A%28+.4n+%29+=+1.6n+
+k%2A%28+.4n+%29+=+160n+
+.4k+=+160+
+k+=+400+
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k% = 400%