#### Solution for 13 is what percent of 114:

13:114*100 =

(13*100):114 =

1300:114 = 11.4

Now we have: 13 is what percent of 114 = 11.4

Question: 13 is what percent of 114?

Percentage solution with steps:

Step 1: We make the assumption that 114 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\%}={114}.

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

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

{100\%}={114}(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{114}{13}

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

\frac{x\%}{100\%}=\frac{13}{114}

\Rightarrow{x} = {11.4\%}

Therefore, {13} is {11.4\%} of {114}.

#### Solution for 114 is what percent of 13:

114:13*100 =

(114*100):13 =

11400:13 = 876.92

Now we have: 114 is what percent of 13 = 876.92

Question: 114 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\%}={114}.

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

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

{x\%}={114}(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}{114}

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

\frac{x\%}{100\%}=\frac{114}{13}

\Rightarrow{x} = {876.92\%}

Therefore, {114} is {876.92\%} of {13}.

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