#### Solution for 120 is what percent of 24.2:

120:24.2*100 =

(120*100):24.2 =

12000:24.2 = 495.86776859504

Now we have: 120 is what percent of 24.2 = 495.86776859504

Question: 120 is what percent of 24.2?

Percentage solution with steps:

Step 1: We make the assumption that 24.2 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\%}={24.2}.

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

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

{100\%}={24.2}(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{24.2}{120}

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

\frac{x\%}{100\%}=\frac{120}{24.2}

\Rightarrow{x} = {495.86776859504\%}

Therefore, {120} is {495.86776859504\%} of {24.2}.

#### Solution for 24.2 is what percent of 120:

24.2:120*100 =

(24.2*100):120 =

2420:120 = 20.166666666667

Now we have: 24.2 is what percent of 120 = 20.166666666667

Question: 24.2 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\%}={24.2}.

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

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

{x\%}={24.2}(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}{24.2}

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

\frac{x\%}{100\%}=\frac{24.2}{120}

\Rightarrow{x} = {20.166666666667\%}

Therefore, {24.2} is {20.166666666667\%} of {120}.

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