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Solution for 30.5 is what percent of 13:

30.5:13*100 =

(30.5*100):13 =

3050:13 = 234.61538461538

Now we have: 30.5 is what percent of 13 = 234.61538461538

Question: 30.5 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\%}={30.5}.

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

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

{x\%}={30.5}(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}{30.5}

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

\frac{x\%}{100\%}=\frac{30.5}{13}

\Rightarrow{x} = {234.61538461538\%}

Therefore, {30.5} is {234.61538461538\%} of {13}.

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Solution for 13 is what percent of 30.5:

13:30.5*100 =

(13*100):30.5 =

1300:30.5 = 42.622950819672

Now we have: 13 is what percent of 30.5 = 42.622950819672

Question: 13 is what percent of 30.5?

Percentage solution with steps:

Step 1: We make the assumption that 30.5 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\%}={30.5}.

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

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

{100\%}={30.5}(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{30.5}{13}

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

\frac{x\%}{100\%}=\frac{13}{30.5}

\Rightarrow{x} = {42.622950819672\%}

Therefore, {13} is {42.622950819672\%} of {30.5}.