#### Solution for 309 is what percent of 709:

309:709*100 =

(309*100):709 =

30900:709 = 43.58

Now we have: 309 is what percent of 709 = 43.58

Question: 309 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\%}={309}.

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

{100\%}={709}(1).

{x\%}={309}(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}{309}

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

\frac{x\%}{100\%}=\frac{309}{709}

\Rightarrow{x} = {43.58\%}

Therefore, {309} is {43.58\%} of {709}.

#### Solution for 709 is what percent of 309:

709:309*100 =

(709*100):309 =

70900:309 = 229.45

Now we have: 709 is what percent of 309 = 229.45

Question: 709 is what percent of 309?

Percentage solution with steps:

Step 1: We make the assumption that 309 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\%}={309}.

Step 4: In the same vein, {x\%}={709}.

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

{100\%}={309}(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{309}{709}

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

\frac{x\%}{100\%}=\frac{709}{309}

\Rightarrow{x} = {229.45\%}

Therefore, {709} is {229.45\%} of {309}.

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