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Solution for 500.25 is what percent of 10:

500.25:10*100 =

(500.25*100):10 =

50025:10 = 5002.5

Now we have: 500.25 is what percent of 10 = 5002.5

Question: 500.25 is what percent of 10?

Percentage solution with steps:

Step 1: We make the assumption that 10 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\%}={10}.

Step 4: In the same vein, {x\%}={500.25}.

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

{100\%}={10}(1).

{x\%}={500.25}(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{10}{500.25}

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

\frac{x\%}{100\%}=\frac{500.25}{10}

\Rightarrow{x} = {5002.5\%}

Therefore, {500.25} is {5002.5\%} of {10}.

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• 500.25 is what percent of 100 = 500.25

Solution for 10 is what percent of 500.25:

10:500.25*100 =

(10*100):500.25 =

1000:500.25 = 1.9990004997501

Now we have: 10 is what percent of 500.25 = 1.9990004997501

Question: 10 is what percent of 500.25?

Percentage solution with steps:

Step 1: We make the assumption that 500.25 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\%}={500.25}.

Step 4: In the same vein, {x\%}={10}.

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

{100\%}={500.25}(1).

{x\%}={10}(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{500.25}{10}

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

\frac{x\%}{100\%}=\frac{10}{500.25}

\Rightarrow{x} = {1.9990004997501\%}

Therefore, {10} is {1.9990004997501\%} of {500.25}.