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Solution for 303 is what percent of 500:

303:500*100 =

(303*100):500 =

30300:500 = 60.6

Now we have: 303 is what percent of 500 = 60.6

Question: 303 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\%}={303}.

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

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

{x\%}={303}(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}{303}

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

\frac{x\%}{100\%}=\frac{303}{500}

\Rightarrow{x} = {60.6\%}

Therefore, {303} is {60.6\%} of {500}.

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• 303 is what percent of 30 = 1010
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Solution for 500 is what percent of 303:

500:303*100 =

(500*100):303 =

50000:303 = 165.02

Now we have: 500 is what percent of 303 = 165.02

Question: 500 is what percent of 303?

Percentage solution with steps:

Step 1: We make the assumption that 303 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\%}={303}.

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

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

{100\%}={303}(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{303}{500}

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

\frac{x\%}{100\%}=\frac{500}{303}

\Rightarrow{x} = {165.02\%}

Therefore, {500} is {165.02\%} of {303}.