#### Solution for 512.50 is what percent of 1275:

512.50:1275*100 =

(512.50*100):1275 =

51250:1275 = 40.196078431373

Now we have: 512.50 is what percent of 1275 = 40.196078431373

Question: 512.50 is what percent of 1275?

Percentage solution with steps:

Step 1: We make the assumption that 1275 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\%}={1275}.

Step 4: In the same vein, {x\%}={512.50}.

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

{100\%}={1275}(1).

{x\%}={512.50}(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{1275}{512.50}

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

\frac{x\%}{100\%}=\frac{512.50}{1275}

\Rightarrow{x} = {40.196078431373\%}

Therefore, {512.50} is {40.196078431373\%} of {1275}.

#### Solution for 1275 is what percent of 512.50:

1275:512.50*100 =

(1275*100):512.50 =

127500:512.50 = 248.78048780488

Now we have: 1275 is what percent of 512.50 = 248.78048780488

Question: 1275 is what percent of 512.50?

Percentage solution with steps:

Step 1: We make the assumption that 512.50 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\%}={512.50}.

Step 4: In the same vein, {x\%}={1275}.

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

{100\%}={512.50}(1).

{x\%}={1275}(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{512.50}{1275}

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

\frac{x\%}{100\%}=\frac{1275}{512.50}

\Rightarrow{x} = {248.78048780488\%}

Therefore, {1275} is {248.78048780488\%} of {512.50}.

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