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Solution for 557.5 is what percent of 450:

557.5:450*100 =

(557.5*100):450 =

55750:450 = 123.88888888889

Now we have: 557.5 is what percent of 450 = 123.88888888889

Question: 557.5 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\%}={557.5}.

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

{100\%}={450}(1).

{x\%}={557.5}(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}{557.5}

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

\frac{x\%}{100\%}=\frac{557.5}{450}

\Rightarrow{x} = {123.88888888889\%}

Therefore, {557.5} is {123.88888888889\%} of {450}.

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Solution for 450 is what percent of 557.5:

450:557.5*100 =

(450*100):557.5 =

45000:557.5 = 80.717488789238

Now we have: 450 is what percent of 557.5 = 80.717488789238

Question: 450 is what percent of 557.5?

Percentage solution with steps:

Step 1: We make the assumption that 557.5 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\%}={557.5}.

Step 4: In the same vein, {x\%}={450}.

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

{100\%}={557.5}(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{557.5}{450}

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

\frac{x\%}{100\%}=\frac{450}{557.5}

\Rightarrow{x} = {80.717488789238\%}

Therefore, {450} is {80.717488789238\%} of {557.5}.