#### Solution for 309 is what percent of 505:

309:505*100 =

(309*100):505 =

30900:505 = 61.19

Now we have: 309 is what percent of 505 = 61.19

Question: 309 is what percent of 505?

Percentage solution with steps:

Step 1: We make the assumption that 505 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\%}={505}.

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

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

{100\%}={505}(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{505}{309}

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

\frac{x\%}{100\%}=\frac{309}{505}

\Rightarrow{x} = {61.19\%}

Therefore, {309} is {61.19\%} of {505}.

#### Solution for 505 is what percent of 309:

505:309*100 =

(505*100):309 =

50500:309 = 163.43

Now we have: 505 is what percent of 309 = 163.43

Question: 505 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\%}={505}.

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

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

{x\%}={505}(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}{505}

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

\frac{x\%}{100\%}=\frac{505}{309}

\Rightarrow{x} = {163.43\%}

Therefore, {505} is {163.43\%} of {309}.

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