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Solution for 5.00 is what percent of 13:

5.00:13*100 =

(5.00*100):13 =

500:13 = 38.461538461538

Now we have: 5.00 is what percent of 13 = 38.461538461538

Question: 5.00 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\%}={5.00}.

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

{100\%}={13}(1).

{x\%}={5.00}(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}{5.00}

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

\frac{x\%}{100\%}=\frac{5.00}{13}

\Rightarrow{x} = {38.461538461538\%}

Therefore, {5.00} is {38.461538461538\%} of {13}.

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Solution for 13 is what percent of 5.00:

13:5.00*100 =

(13*100):5.00 =

1300:5.00 = 260

Now we have: 13 is what percent of 5.00 = 260

Question: 13 is what percent of 5.00?

Percentage solution with steps:

Step 1: We make the assumption that 5.00 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\%}={5.00}.

Step 4: In the same vein, {x\%}={13}.

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

{100\%}={5.00}(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{5.00}{13}

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

\frac{x\%}{100\%}=\frac{13}{5.00}

\Rightarrow{x} = {260\%}

Therefore, {13} is {260\%} of {5.00}.