#### Solution for 13 is what percent of 61:

13: 61*100 =

(13*100): 61 =

1300: 61 = 21.31

Now we have: 13 is what percent of 61 = 21.31

Question: 13 is what percent of 61?

Percentage solution with steps:

Step 1: We make the assumption that 61 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\%}={ 61}.

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

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

{100\%}={ 61}(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{ 61}{13}

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

\frac{x\%}{100\%}=\frac{13}{ 61}

\Rightarrow{x} = {21.31\%}

Therefore, {13} is {21.31\%} of { 61}.

#### Solution for 61 is what percent of 13:

61:13*100 =

( 61*100):13 =

6100:13 = 469.23

Now we have: 61 is what percent of 13 = 469.23

Question: 61 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\%}={ 61}.

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

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

{x\%}={ 61}(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}{ 61}

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

\frac{x\%}{100\%}=\frac{ 61}{13}

\Rightarrow{x} = {469.23\%}

Therefore, { 61} is {469.23\%} of {13}.

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