#### Solution for 257 is what percent of 500:

257:500*100 =

( 257*100):500 =

25700:500 = 51.4

Now we have: 257 is what percent of 500 = 51.4

Question: 257 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}.

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

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

{x\%}={ 257}(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}

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

\frac{x\%}{100\%}=\frac{ 257}{500}

\Rightarrow{x} = {51.4\%}

Therefore, { 257} is {51.4\%} of {500}.

#### Solution for 500 is what percent of 257:

500: 257*100 =

(500*100): 257 =

50000: 257 = 194.55

Now we have: 500 is what percent of 257 = 194.55

Question: 500 is what percent of 257?

Percentage solution with steps:

Step 1: We make the assumption that 257 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}.

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

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

{100\%}={ 257}(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}{500}

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

\frac{x\%}{100\%}=\frac{500}{ 257}

\Rightarrow{x} = {194.55\%}

Therefore, {500} is {194.55\%} of { 257}.

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