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Solution for 247.5 is what percent of 450:

247.5:450*100 =

(247.5*100):450 =

24750:450 = 55

Now we have: 247.5 is what percent of 450 = 55

Question: 247.5 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\%}={247.5}.

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

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

{x\%}={247.5}(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}{247.5}

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

\frac{x\%}{100\%}=\frac{247.5}{450}

\Rightarrow{x} = {55\%}

Therefore, {247.5} is {55\%} of {450}.

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Solution for 450 is what percent of 247.5:

450:247.5*100 =

(450*100):247.5 =

45000:247.5 = 181.81818181818

Now we have: 450 is what percent of 247.5 = 181.81818181818

Question: 450 is what percent of 247.5?

Percentage solution with steps:

Step 1: We make the assumption that 247.5 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\%}={247.5}.

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

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

{100\%}={247.5}(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{247.5}{450}

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

\frac{x\%}{100\%}=\frac{450}{247.5}

\Rightarrow{x} = {181.81818181818\%}

Therefore, {450} is {181.81818181818\%} of {247.5}.