#### Solution for 27 is what percent of 126:

27: 126*100 =

(27*100): 126 =

2700: 126 = 21.43

Now we have: 27 is what percent of 126 = 21.43

Question: 27 is what percent of 126?

Percentage solution with steps:

Step 1: We make the assumption that 126 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\%}={ 126}.

Step 4: In the same vein, {x\%}={27}.

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

{100\%}={ 126}(1).

{x\%}={27}(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{ 126}{27}

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

\frac{x\%}{100\%}=\frac{27}{ 126}

\Rightarrow{x} = {21.43\%}

Therefore, {27} is {21.43\%} of { 126}.

#### Solution for 126 is what percent of 27:

126:27*100 =

( 126*100):27 =

12600:27 = 466.67

Now we have: 126 is what percent of 27 = 466.67

Question: 126 is what percent of 27?

Percentage solution with steps:

Step 1: We make the assumption that 27 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\%}={27}.

Step 4: In the same vein, {x\%}={ 126}.

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

{100\%}={27}(1).

{x\%}={ 126}(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{27}{ 126}

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

\frac{x\%}{100\%}=\frac{ 126}{27}

\Rightarrow{x} = {466.67\%}

Therefore, { 126} is {466.67\%} of {27}.

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