#### Solution for 2 is what percent of 120:

2: 120*100 =

(2*100): 120 =

200: 120 = 1.67

Now we have: 2 is what percent of 120 = 1.67

Question: 2 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\%}={2}.

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

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

{x\%}={2}(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}{2}

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

\frac{x\%}{100\%}=\frac{2}{ 120}

\Rightarrow{x} = {1.67\%}

Therefore, {2} is {1.67\%} of { 120}.

#### Solution for 120 is what percent of 2:

120:2*100 =

( 120*100):2 =

12000:2 = 6000

Now we have: 120 is what percent of 2 = 6000

Question: 120 is what percent of 2?

Percentage solution with steps:

Step 1: We make the assumption that 2 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\%}={2}.

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

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

{100\%}={2}(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{2}{ 120}

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

\frac{x\%}{100\%}=\frac{ 120}{2}

\Rightarrow{x} = {6000\%}

Therefore, { 120} is {6000\%} of {2}.

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