#### Solution for 15 is what percent of 55:

15: 55*100 =

(15*100): 55 =

1500: 55 = 27.27

Now we have: 15 is what percent of 55 = 27.27

Question: 15 is what percent of 55?

Percentage solution with steps:

Step 1: We make the assumption that 55 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\%}={ 55}.

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

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

{100\%}={ 55}(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{ 55}{15}

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

\frac{x\%}{100\%}=\frac{15}{ 55}

\Rightarrow{x} = {27.27\%}

Therefore, {15} is {27.27\%} of { 55}.

#### Solution for 55 is what percent of 15:

55:15*100 =

( 55*100):15 =

5500:15 = 366.67

Now we have: 55 is what percent of 15 = 366.67

Question: 55 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\%}={ 55}.

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

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

{x\%}={ 55}(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}{ 55}

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

\frac{x\%}{100\%}=\frac{ 55}{15}

\Rightarrow{x} = {366.67\%}

Therefore, { 55} is {366.67\%} of {15}.

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