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Solution for 126 is what percent of 30:

126:30*100 =

(126*100):30 =

12600:30 = 420

Now we have: 126 is what percent of 30 = 420

Question: 126 is what percent of 30?

Percentage solution with steps:

Step 1: We make the assumption that 30 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\%}={30}.

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

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

{100\%}={30}(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{30}{126}

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

\frac{x\%}{100\%}=\frac{126}{30}

\Rightarrow{x} = {420\%}

Therefore, {126} is {420\%} of {30}.

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Solution for 30 is what percent of 126:

30:126*100 =

(30*100):126 =

3000:126 = 23.81

Now we have: 30 is what percent of 126 = 23.81

Question: 30 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\%}={30}.

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

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

{x\%}={30}(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}{30}

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

\frac{x\%}{100\%}=\frac{30}{126}

\Rightarrow{x} = {23.81\%}

Therefore, {30} is {23.81\%} of {126}.