SOLUTION: solve. 12 is 6 percent of what number? what percent of 360 is 45?

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Question 42382: solve.
12 is 6 percent of what number?
what percent of 360 is 45?
Found 2 solutions by psbhowmick, tutorcecilia:
Answer by psbhowmick(878) About Me  (Show Source):
You can put this solution on YOUR website!
Let the number be 'x', then its 6% is %286%2F100%29%2Ax.
So %286%2F100%29%2Ax+=+12
or x+=+%2812%2A100%29%2F6+=+200
So 12 is 6% of 200.

Let 45 be equal to y% of 360.
Then, %28y%2F100%29%2A360+=+45
or y+=+%2845%2A100%29%2F360+=+12.5
So 45 is 12.5% of 360.

Answer by tutorcecilia(2152) About Me  (Show Source):
You can put this solution on YOUR website!
12 is 6 percent of what number?
Apply the rule for percents:
.
Part/Whole = Percent/100
.
Plug in the values:
.
12/x = 6/100
.
Cross-multiply and solve for x:
.
(12)(100)= 6x
.
.06 = .06
.
.
Apply the same rule for percents:
Part/Whole = Percent/100
.
45/360 = x percent/100
.
Cross-multiply:
(45)(100) = (360)(x)
.
Simplify and solve for x:
.
4500=360x
x = 12.5%
.
Check the answer:
Part/Whole = Percent/100
.
45/360 = 12.5/100
0.125= 0.125