#### Solution for 15 is what percent of 3.5:

15:3.5*100 =

(15*100):3.5 =

1500:3.5 = 428.57142857143

Now we have: 15 is what percent of 3.5 = 428.57142857143

Question: 15 is what percent of 3.5?

Percentage solution with steps:

Step 1: We make the assumption that 3.5 is 100% since it is our output value.

Step 2: We next represent the value we seek with {x}.

Step 3: From step 1, it follows that {100\%}={3.5}.

Step 4: In the same vein, {x\%}={15}.

Step 5: This gives us a pair of simple equations:

{100\%}={3.5}(1).

{x\%}={15}(2).

Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS
(left hand side) of both equations have the same unit (%); we have

\frac{100\%}{x\%}=\frac{3.5}{15}

Step 7: Taking the inverse (or reciprocal) of both sides yields

\frac{x\%}{100\%}=\frac{15}{3.5}

\Rightarrow{x} = {428.57142857143\%}

Therefore, {15} is {428.57142857143\%} of {3.5}.

#### Solution for 3.5 is what percent of 15:

3.5:15*100 =

(3.5*100):15 =

350:15 = 23.333333333333

Now we have: 3.5 is what percent of 15 = 23.333333333333

Question: 3.5 is what percent of 15?

Percentage solution with steps:

Step 1: We make the assumption that 15 is 100% since it is our output value.

Step 2: We next represent the value we seek with {x}.

Step 3: From step 1, it follows that {100\%}={15}.

Step 4: In the same vein, {x\%}={3.5}.

Step 5: This gives us a pair of simple equations:

{100\%}={15}(1).

{x\%}={3.5}(2).

Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS
(left hand side) of both equations have the same unit (%); we have

\frac{100\%}{x\%}=\frac{15}{3.5}

Step 7: Taking the inverse (or reciprocal) of both sides yields

\frac{x\%}{100\%}=\frac{3.5}{15}

\Rightarrow{x} = {23.333333333333\%}

Therefore, {3.5} is {23.333333333333\%} of {15}.

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