#### Solution for 39 is what percent of 120:

39:120*100 =

(39*100):120 =

3900:120 = 32.5

Now we have: 39 is what percent of 120 = 32.5

Question: 39 is what percent of 120?

Percentage solution with steps:

Step 1: We make the assumption that 120 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\%}={120}.

Step 4: In the same vein, {x\%}={39}.

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

{100\%}={120}(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{120}{39}

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

\frac{x\%}{100\%}=\frac{39}{120}

\Rightarrow{x} = {32.5\%}

Therefore, {39} is {32.5\%} of {120}.

#### Solution for 120 is what percent of 39:

120:39*100 =

(120*100):39 =

12000:39 = 307.69

Now we have: 120 is what percent of 39 = 307.69

Question: 120 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\%}={120}.

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

{100\%}={39}(1).

{x\%}={120}(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}{120}

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

\frac{x\%}{100\%}=\frac{120}{39}

\Rightarrow{x} = {307.69\%}

Therefore, {120} is {307.69\%} of {39}.

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