#### Solution for 117 is what percent of 709:

117:709*100 =

(117*100):709 =

11700:709 = 16.5

Now we have: 117 is what percent of 709 = 16.5

Question: 117 is what percent of 709?

Percentage solution with steps:

Step 1: We make the assumption that 709 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\%}={709}.

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

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

{100\%}={709}(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{709}{117}

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

\frac{x\%}{100\%}=\frac{117}{709}

\Rightarrow{x} = {16.5\%}

Therefore, {117} is {16.5\%} of {709}.

#### Solution for 709 is what percent of 117:

709:117*100 =

(709*100):117 =

70900:117 = 605.98

Now we have: 709 is what percent of 117 = 605.98

Question: 709 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\%}={709}.

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

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

{x\%}={709}(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}{709}

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

\frac{x\%}{100\%}=\frac{709}{117}

\Rightarrow{x} = {605.98\%}

Therefore, {709} is {605.98\%} of {117}.

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