#### Solution for 332 is what percent of 500:

332:500*100 =

(332*100):500 =

33200:500 = 66.4

Now we have: 332 is what percent of 500 = 66.4

Question: 332 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\%}={332}.

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

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

{x\%}={332}(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}{332}

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

\frac{x\%}{100\%}=\frac{332}{500}

\Rightarrow{x} = {66.4\%}

Therefore, {332} is {66.4\%} of {500}.

#### Solution for 500 is what percent of 332:

500:332*100 =

(500*100):332 =

50000:332 = 150.6

Now we have: 500 is what percent of 332 = 150.6

Question: 500 is what percent of 332?

Percentage solution with steps:

Step 1: We make the assumption that 332 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\%}={332}.

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

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

{100\%}={332}(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{332}{500}

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

\frac{x\%}{100\%}=\frac{500}{332}

\Rightarrow{x} = {150.6\%}

Therefore, {500} is {150.6\%} of {332}.

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