#### Solution for 248 is what percent of 500:

248:500*100 =

(248*100):500 =

24800:500 = 49.6

Now we have: 248 is what percent of 500 = 49.6

Question: 248 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\%}={248}.

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

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

{x\%}={248}(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}{248}

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

\frac{x\%}{100\%}=\frac{248}{500}

\Rightarrow{x} = {49.6\%}

Therefore, {248} is {49.6\%} of {500}.

#### Solution for 500 is what percent of 248:

500:248*100 =

(500*100):248 =

50000:248 = 201.61

Now we have: 500 is what percent of 248 = 201.61

Question: 500 is what percent of 248?

Percentage solution with steps:

Step 1: We make the assumption that 248 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\%}={248}.

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

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

{100\%}={248}(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{248}{500}

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

\frac{x\%}{100\%}=\frac{500}{248}

\Rightarrow{x} = {201.61\%}

Therefore, {500} is {201.61\%} of {248}.

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