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Solution for 500 is what percent of 5200:

500:5200*100 =

(500*100):5200 =

50000:5200 = 9.62

Now we have: 500 is what percent of 5200 = 9.62

Question: 500 is what percent of 5200?

Percentage solution with steps:

Step 1: We make the assumption that 5200 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\%}={5200}.

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

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

{100\%}={5200}(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{5200}{500}

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

\frac{x\%}{100\%}=\frac{500}{5200}

\Rightarrow{x} = {9.62\%}

Therefore, {500} is {9.62\%} of {5200}.

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Solution for 5200 is what percent of 500:

5200:500*100 =

(5200*100):500 =

520000:500 = 1040

Now we have: 5200 is what percent of 500 = 1040

Question: 5200 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\%}={5200}.

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

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

{x\%}={5200}(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}{5200}

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

\frac{x\%}{100\%}=\frac{5200}{500}

\Rightarrow{x} = {1040\%}

Therefore, {5200} is {1040\%} of {500}.