#### Solution for 300 is what percent of 502:

300:502*100 =

(300*100):502 =

30000:502 = 59.76

Now we have: 300 is what percent of 502 = 59.76

Question: 300 is what percent of 502?

Percentage solution with steps:

Step 1: We make the assumption that 502 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\%}={502}.

Step 4: In the same vein, {x\%}={300}.

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

{100\%}={502}(1).

{x\%}={300}(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{502}{300}

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

\frac{x\%}{100\%}=\frac{300}{502}

\Rightarrow{x} = {59.76\%}

Therefore, {300} is {59.76\%} of {502}.

#### Solution for 502 is what percent of 300:

502:300*100 =

(502*100):300 =

50200:300 = 167.33

Now we have: 502 is what percent of 300 = 167.33

Question: 502 is what percent of 300?

Percentage solution with steps:

Step 1: We make the assumption that 300 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\%}={300}.

Step 4: In the same vein, {x\%}={502}.

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

{100\%}={300}(1).

{x\%}={502}(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{300}{502}

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

\frac{x\%}{100\%}=\frac{502}{300}

\Rightarrow{x} = {167.33\%}

Therefore, {502} is {167.33\%} of {300}.

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