#### Solution for 117 is what percent of 1311:

117:1311*100 =

(117*100):1311 =

11700:1311 = 8.92

Now we have: 117 is what percent of 1311 = 8.92

Question: 117 is what percent of 1311?

Percentage solution with steps:

Step 1: We make the assumption that 1311 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\%}={1311}.

Step 4: In the same vein, {x\%}={117}.

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

{100\%}={1311}(1).

{x\%}={117}(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{1311}{117}

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

\frac{x\%}{100\%}=\frac{117}{1311}

\Rightarrow{x} = {8.92\%}

Therefore, {117} is {8.92\%} of {1311}.

#### Solution for 1311 is what percent of 117:

1311:117*100 =

(1311*100):117 =

131100:117 = 1120.51

Now we have: 1311 is what percent of 117 = 1120.51

Question: 1311 is what percent of 117?

Percentage solution with steps:

Step 1: We make the assumption that 117 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\%}={117}.

Step 4: In the same vein, {x\%}={1311}.

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

{100\%}={117}(1).

{x\%}={1311}(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{117}{1311}

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

\frac{x\%}{100\%}=\frac{1311}{117}

\Rightarrow{x} = {1120.51\%}

Therefore, {1311} is {1120.51\%} of {117}.

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