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Solution for 126 is what percent of 21:

126:21*100 =

(126*100):21 =

12600:21 = 600

Now we have: 126 is what percent of 21 = 600

Question: 126 is what percent of 21?

Percentage solution with steps:

Step 1: We make the assumption that 21 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\%}={21}.

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

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

{100\%}={21}(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{21}{126}

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

\frac{x\%}{100\%}=\frac{126}{21}

\Rightarrow{x} = {600\%}

Therefore, {126} is {600\%} of {21}.

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Solution for 21 is what percent of 126:

21:126*100 =

(21*100):126 =

2100:126 = 16.67

Now we have: 21 is what percent of 126 = 16.67

Question: 21 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\%}={21}.

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

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

{x\%}={21}(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}{21}

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

\frac{x\%}{100\%}=\frac{21}{126}

\Rightarrow{x} = {16.67\%}

Therefore, {21} is {16.67\%} of {126}.