#### Solution for 500 is what percent of 1500:

500: 1500*100 =

(500*100): 1500 =

50000: 1500 = 33.33

Now we have: 500 is what percent of 1500 = 33.33

Question: 500 is what percent of 1500?

Percentage solution with steps:

Step 1: We make the assumption that 1500 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\%}={ 1500}.

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

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

{100\%}={ 1500}(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{ 1500}{500}

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

\frac{x\%}{100\%}=\frac{500}{ 1500}

\Rightarrow{x} = {33.33\%}

Therefore, {500} is {33.33\%} of { 1500}.

#### Solution for 1500 is what percent of 500:

1500:500*100 =

( 1500*100):500 =

150000:500 = 300

Now we have: 1500 is what percent of 500 = 300

Question: 1500 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\%}={ 1500}.

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

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

{x\%}={ 1500}(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}{ 1500}

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

\frac{x\%}{100\%}=\frac{ 1500}{500}

\Rightarrow{x} = {300\%}

Therefore, { 1500} is {300\%} of {500}.

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