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Solution for 13.00 is what percent of 31:

13.00:31*100 =

(13.00*100):31 =

1300:31 = 41.935483870968

Now we have: 13.00 is what percent of 31 = 41.935483870968

Question: 13.00 is what percent of 31?

Percentage solution with steps:

Step 1: We make the assumption that 31 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\%}={31}.

Step 4: In the same vein, {x\%}={13.00}.

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

{100\%}={31}(1).

{x\%}={13.00}(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{31}{13.00}

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

\frac{x\%}{100\%}=\frac{13.00}{31}

\Rightarrow{x} = {41.935483870968\%}

Therefore, {13.00} is {41.935483870968\%} of {31}.

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Solution for 31 is what percent of 13.00:

31:13.00*100 =

(31*100):13.00 =

3100:13.00 = 238.46153846154

Now we have: 31 is what percent of 13.00 = 238.46153846154

Question: 31 is what percent of 13.00?

Percentage solution with steps:

Step 1: We make the assumption that 13.00 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\%}={13.00}.

Step 4: In the same vein, {x\%}={31}.

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

{100\%}={13.00}(1).

{x\%}={31}(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{13.00}{31}

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

\frac{x\%}{100\%}=\frac{31}{13.00}

\Rightarrow{x} = {238.46153846154\%}

Therefore, {31} is {238.46153846154\%} of {13.00}.