can anyone show me the solution for these: 15 = (?) % of 75?

Answer 1

15 = 75x
x = 15/75
x = 0.2
= 20%

Answer 2

To oversimplify slightly, percent is Latin for "divide by 100." The % (percent) sign even tells you that, though over the years one of the zeroes has migrated to the top and the 1 has disappeared altogether.

Also, in this context, when you are taking a fraction "of" something, think multiply. To complete the symbolic transformation, think of the question mark as a variable. You may leave it as a question mark if you like, but it is more conventional to make it into a letter, usually x.

Your equation then translates from

15 = (?) % of 75 to
15 = x/100 * 75.

The idea is to get x by itself on one side of the equation and everything else on the other. This can be done in several ways, one of them shown below:

You can now get rid of the divide by 100 by multiplying by its reciprocal 1/100, which amounts to the same thing:

15 = x * (1/100) * 75

Although this looks as hard as the original problem, we now have all multiply operations, which means we can group them however we want to (associative property of multiplication). In this case, let us group them as

15 = x * (1/100 * 75)

We can now perform the operation in parentheses, which is 75/100 or 3/4, to give us

15 = x * 3/4

In an equation, we can multiply or divide both sides of the equation by the same number, as long as we take care not to divide by zero. In this instance, we can undo the multiply by 3/4 on the right side by dividing by 3/4, or multiplying by its reciprocal 4/3, which amounts to the same thing:

15 * 4/3 = x * 3/4 * 4/3

We can regroup the right side as we did before to do the numeric operation first, giving

15 * 4/3 = x * (3/4 * 4/3)

The stuff in the parentheses gives us 1, when multiplied by x - whatever that turns out to be - will give us x back. This leaves x by itself on the right side and gives

15 * 4/3 = x

Now we only have to do the arithmetic on the left to give

20 = x

so 15 is 20 % of 75.

Answer 3

The correct answer is 20%.

"Percent" really means "per hundred", so 100% = 100/100 = 1.

You are trying to solve this problem:
15/75 = x/100
Evaluate the left side to get 0.2, then multiply both sides by 100 to leave x by itself.
You'll end up with x = 20, which is to say 15 is 20% of 75.

Answer 4

15= % of 75 Set is up as an algebra problem.
15=75x Divide both sides by 75
15/75=x Simplify the fraction to 1/5, divide & you get .20 which is 20%

Answer 5

15/75=x/100
1500/75
=20

Answer 6

15=(5)% of 75

Answer 7

15= ?% of 75

75 is 100%

so 15/75 x 100 = 20%

Answer 8

you have to set up proportions:
15 X
----- -----
75 100 now, cross multiply
15*100=1500
75*X=75X
now divide 1500 by 75=20%

Answer 9

15 = x% of 75
15 = (x/100) x 75
15/75 = x/100
(15/75) x 100 = x
x = 20

Answer 10

x/100 x75 = 15
x=15/.75 = 20%