#### Solution for 309 is what percent of 403:

309:403*100 =

(309*100):403 =

30900:403 = 76.67

Now we have: 309 is what percent of 403 = 76.67

Question: 309 is what percent of 403?

Percentage solution with steps:

Step 1: We make the assumption that 403 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\%}={403}.

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

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

{100\%}={403}(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{403}{309}

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

\frac{x\%}{100\%}=\frac{309}{403}

\Rightarrow{x} = {76.67\%}

Therefore, {309} is {76.67\%} of {403}.

#### Solution for 403 is what percent of 309:

403:309*100 =

(403*100):309 =

40300:309 = 130.42

Now we have: 403 is what percent of 309 = 130.42

Question: 403 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\%}={403}.

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

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

{x\%}={403}(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}{403}

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

\frac{x\%}{100\%}=\frac{403}{309}

\Rightarrow{x} = {130.42\%}

Therefore, {403} is {130.42\%} of {309}.

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