N% x 1.60 = 6 (I turned it from English to math) Can't move n% back two places to make it a decimal so I will move the number I am multiplying by n% back two places instead. Here is a sample to show you why it works. .34 x 57 = 34 x .57
So .016n = 6 (.016 is 1.60 decimal moved back two places)
Now divide both sides by .016 <u>.016</u>n = <u>6 </u><u />.016 .016 n = 375%
Why is the percent over 100% you might ask?
What % of 1.60 is 1.60 (Answer - all of it or 100%) So What % of 1.60 is 6 - the number 6 being much bigger than 1.60, it is not surprising that the percent is more than 100.
What % of 1.60 is 1.60 - 100% What % of 1.60 is 3.20 - 200% (notice that 3.20 is twice 1.60) What % of 1.6 is 4.80 - 300% (notice that 4.80 is three times 1.60) What % of 1.6 is 6.40 - 400% (notice that 6.40 is four times 1.60) 6 (the number in the problem) is just a bit less than 6.40 so 375% makes a lot a sense. Hope you found this helpful.
