#### Solution for 300 is what percent of 500:

300: 500*100 =

(300*100): 500 =

30000: 500 = 60

Now we have: 300 is what percent of 500 = 60

Question: 300 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\%}={300}.

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

{100\%}={ 500}(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{ 500}{300}

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

\frac{x\%}{100\%}=\frac{300}{ 500}

\Rightarrow{x} = {60\%}

Therefore, {300} is {60\%} of { 500}.

#### Solution for 500 is what percent of 300:

500:300*100 =

( 500*100):300 =

50000:300 = 166.67

Now we have: 500 is what percent of 300 = 166.67

Question: 500 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\%}={ 500}.

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

{100\%}={300}(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{300}{ 500}

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

\frac{x\%}{100\%}=\frac{ 500}{300}

\Rightarrow{x} = {166.67\%}

Therefore, { 500} is {166.67\%} of {300}.

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