#### Solution for 6.7 is what percent of 15:

6.7:15*100 =

(6.7*100):15 =

670:15 = 44.666666666667

Now we have: 6.7 is what percent of 15 = 44.666666666667

Question: 6.7 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\%}={6.7}.

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

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

{x\%}={6.7}(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}{6.7}

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

\frac{x\%}{100\%}=\frac{6.7}{15}

\Rightarrow{x} = {44.666666666667\%}

Therefore, {6.7} is {44.666666666667\%} of {15}.

#### Solution for 15 is what percent of 6.7:

15:6.7*100 =

(15*100):6.7 =

1500:6.7 = 223.88059701493

Now we have: 15 is what percent of 6.7 = 223.88059701493

Question: 15 is what percent of 6.7?

Percentage solution with steps:

Step 1: We make the assumption that 6.7 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\%}={6.7}.

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

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

{100\%}={6.7}(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{6.7}{15}

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

\frac{x\%}{100\%}=\frac{15}{6.7}

\Rightarrow{x} = {223.88059701493\%}

Therefore, {15} is {223.88059701493\%} of {6.7}.

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