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Solution for 500.25 is what percent of 13:

500.25:13*100 =

(500.25*100):13 =

50025:13 = 3848.0769230769

Now we have: 500.25 is what percent of 13 = 3848.0769230769

Question: 500.25 is what percent of 13?

Percentage solution with steps:

Step 1: We make the assumption that 13 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\%}={13}.

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

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

{100\%}={13}(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{13}{500.25}

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

\frac{x\%}{100\%}=\frac{500.25}{13}

\Rightarrow{x} = {3848.0769230769\%}

Therefore, {500.25} is {3848.0769230769\%} of {13}.

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Solution for 13 is what percent of 500.25:

13:500.25*100 =

(13*100):500.25 =

1300:500.25 = 2.5987006496752

Now we have: 13 is what percent of 500.25 = 2.5987006496752

Question: 13 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\%}={13}.

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

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

{x\%}={13}(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}{13}

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

\frac{x\%}{100\%}=\frac{13}{500.25}

\Rightarrow{x} = {2.5987006496752\%}

Therefore, {13} is {2.5987006496752\%} of {500.25}.