#### Solution for 306 is what percent of 500:

306:500*100 =

( 306*100):500 =

30600:500 = 61.2

Now we have: 306 is what percent of 500 = 61.2

Question: 306 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\%}={ 306}.

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

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

{x\%}={ 306}(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}{ 306}

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

\frac{x\%}{100\%}=\frac{ 306}{500}

\Rightarrow{x} = {61.2\%}

Therefore, { 306} is {61.2\%} of {500}.

#### Solution for 500 is what percent of 306:

500: 306*100 =

(500*100): 306 =

50000: 306 = 163.4

Now we have: 500 is what percent of 306 = 163.4

Question: 500 is what percent of 306?

Percentage solution with steps:

Step 1: We make the assumption that 306 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\%}={ 306}.

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

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

{100\%}={ 306}(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{ 306}{500}

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

\frac{x\%}{100\%}=\frac{500}{ 306}

\Rightarrow{x} = {163.4\%}

Therefore, {500} is {163.4\%} of { 306}.

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