#### Solution for 309 is what percent of 100:

309:100*100 =

(309*100):100 =

30900:100 = 309

Now we have: 309 is what percent of 100 = 309

Question: 309 is what percent of 100?

Percentage solution with steps:

Step 1: We make the assumption that 100 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\%}={100}.

Step 4: In the same vein, {x\%}={309}.

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

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

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

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

\Rightarrow{x} = {309\%}

Therefore, {309} is {309\%} of {100}.

#### Solution for 100 is what percent of 309:

100:309*100 =

(100*100):309 =

10000:309 = 32.36

Now we have: 100 is what percent of 309 = 32.36

Question: 100 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\%}={100}.

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

{100\%}={309}(1).

{x\%}={100}(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}{100}

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

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

\Rightarrow{x} = {32.36\%}

Therefore, {100} is {32.36\%} of {309}.

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