#### Solution for 257.25 is what percent of 500:

257.25:500*100 =

(257.25*100):500 =

25725:500 = 51.45

Now we have: 257.25 is what percent of 500 = 51.45

Question: 257.25 is what percent of 500?

Percentage solution with steps:

Step 1: We make the assumption that 500 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\%}={500}.

Step 4: In the same vein, {x\%}={257.25}.

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

{100\%}={500}(1).

{x\%}={257.25}(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{500}{257.25}

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

\frac{x\%}{100\%}=\frac{257.25}{500}

\Rightarrow{x} = {51.45\%}

Therefore, {257.25} is {51.45\%} of {500}.

#### Solution for 500 is what percent of 257.25:

500:257.25*100 =

(500*100):257.25 =

50000:257.25 = 194.36345966958

Now we have: 500 is what percent of 257.25 = 194.36345966958

Question: 500 is what percent of 257.25?

Percentage solution with steps:

Step 1: We make the assumption that 257.25 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\%}={257.25}.

Step 4: In the same vein, {x\%}={500}.

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

{100\%}={257.25}(1).

{x\%}={500}(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{257.25}{500}

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

\frac{x\%}{100\%}=\frac{500}{257.25}

\Rightarrow{x} = {194.36345966958\%}

Therefore, {500} is {194.36345966958\%} of {257.25}.

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