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Solution for 71 is what percent of 500:

71:500*100 =

(71*100):500 =

7100:500 = 14.2

Now we have: 71 is what percent of 500 = 14.2

Question: 71 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\%}={71}.

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

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

{x\%}={71}(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}{71}

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

\frac{x\%}{100\%}=\frac{71}{500}

\Rightarrow{x} = {14.2\%}

Therefore, {71} is {14.2\%} of {500}.

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Solution for 500 is what percent of 71:

500:71*100 =

(500*100):71 =

50000:71 = 704.23

Now we have: 500 is what percent of 71 = 704.23

Question: 500 is what percent of 71?

Percentage solution with steps:

Step 1: We make the assumption that 71 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\%}={71}.

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

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

{100\%}={71}(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{71}{500}

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

\frac{x\%}{100\%}=\frac{500}{71}

\Rightarrow{x} = {704.23\%}

Therefore, {500} is {704.23\%} of {71}.