#### Solution for 120 is what percent of 50:

120:50*100 =

( 120*100):50 =

12000:50 = 240

Now we have: 120 is what percent of 50 = 240

Question: 120 is what percent of 50?

Percentage solution with steps:

Step 1: We make the assumption that 50 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\%}={50}.

Step 4: In the same vein, {x\%}={ 120}.

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

{100\%}={50}(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{50}{ 120}

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

\frac{x\%}{100\%}=\frac{ 120}{50}

\Rightarrow{x} = {240\%}

Therefore, { 120} is {240\%} of {50}.

#### Solution for 50 is what percent of 120:

50: 120*100 =

(50*100): 120 =

5000: 120 = 41.67

Now we have: 50 is what percent of 120 = 41.67

Question: 50 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\%}={50}.

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

{100\%}={ 120}(1).

{x\%}={50}(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}{50}

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

\frac{x\%}{100\%}=\frac{50}{ 120}

\Rightarrow{x} = {41.67\%}

Therefore, {50} is {41.67\%} of { 120}.

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