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Solution for 309 is what percent of 75:

309:75*100 =

(309*100):75 =

30900:75 = 412

Now we have: 309 is what percent of 75 = 412

Question: 309 is what percent of 75?

Percentage solution with steps:

Step 1: We make the assumption that 75 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\%}={75}.

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

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

{100\%}={75}(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{75}{309}

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

\frac{x\%}{100\%}=\frac{309}{75}

\Rightarrow{x} = {412\%}

Therefore, {309} is {412\%} of {75}.

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• 309 is what percent of 30 = 1030
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Solution for 75 is what percent of 309:

75:309*100 =

(75*100):309 =

7500:309 = 24.27

Now we have: 75 is what percent of 309 = 24.27

Question: 75 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\%}={75}.

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

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

{x\%}={75}(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}{75}

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

\frac{x\%}{100\%}=\frac{75}{309}

\Rightarrow{x} = {24.27\%}

Therefore, {75} is {24.27\%} of {309}.