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Solution for 126 is what percent of 450:

126:450*100 =

(126*100):450 =

12600:450 = 28

Now we have: 126 is what percent of 450 = 28

Question: 126 is what percent of 450?

Percentage solution with steps:

Step 1: We make the assumption that 450 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\%}={450}.

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

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

{100\%}={450}(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{450}{126}

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

\frac{x\%}{100\%}=\frac{126}{450}

\Rightarrow{x} = {28\%}

Therefore, {126} is {28\%} of {450}.

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Solution for 450 is what percent of 126:

450:126*100 =

(450*100):126 =

45000:126 = 357.14

Now we have: 450 is what percent of 126 = 357.14

Question: 450 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\%}={450}.

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

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

{x\%}={450}(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}{450}

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

\frac{x\%}{100\%}=\frac{450}{126}

\Rightarrow{x} = {357.14\%}

Therefore, {450} is {357.14\%} of {126}.