#### Solution for 402 is what percent of 500:

402:500*100 =

(402*100):500 =

40200:500 = 80.4

Now we have: 402 is what percent of 500 = 80.4

Question: 402 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\%}={402}.

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

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

{x\%}={402}(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}{402}

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

\frac{x\%}{100\%}=\frac{402}{500}

\Rightarrow{x} = {80.4\%}

Therefore, {402} is {80.4\%} of {500}.

#### Solution for 500 is what percent of 402:

500:402*100 =

(500*100):402 =

50000:402 = 124.38

Now we have: 500 is what percent of 402 = 124.38

Question: 500 is what percent of 402?

Percentage solution with steps:

Step 1: We make the assumption that 402 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\%}={402}.

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

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

{100\%}={402}(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{402}{500}

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

\frac{x\%}{100\%}=\frac{500}{402}

\Rightarrow{x} = {124.38\%}

Therefore, {500} is {124.38\%} of {402}.

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