#### Solution for 39 is what percent of 505:

39:505*100 =

(39*100):505 =

3900:505 = 7.72

Now we have: 39 is what percent of 505 = 7.72

Question: 39 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\%}={39}.

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

{100\%}={505}(1).

{x\%}={39}(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}{39}

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

\frac{x\%}{100\%}=\frac{39}{505}

\Rightarrow{x} = {7.72\%}

Therefore, {39} is {7.72\%} of {505}.

#### Solution for 505 is what percent of 39:

505:39*100 =

(505*100):39 =

50500:39 = 1294.87

Now we have: 505 is what percent of 39 = 1294.87

Question: 505 is what percent of 39?

Percentage solution with steps:

Step 1: We make the assumption that 39 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\%}={39}.

Step 4: In the same vein, {x\%}={505}.

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

{100\%}={39}(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{39}{505}

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

\frac{x\%}{100\%}=\frac{505}{39}

\Rightarrow{x} = {1294.87\%}

Therefore, {505} is {1294.87\%} of {39}.

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