#### Solution for 120 is what percent of 221.8:

120:221.8*100 =

(120*100):221.8 =

12000:221.8 = 54.102795311091

Now we have: 120 is what percent of 221.8 = 54.102795311091

Question: 120 is what percent of 221.8?

Percentage solution with steps:

Step 1: We make the assumption that 221.8 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\%}={221.8}.

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

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

{100\%}={221.8}(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{221.8}{120}

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

\frac{x\%}{100\%}=\frac{120}{221.8}

\Rightarrow{x} = {54.102795311091\%}

Therefore, {120} is {54.102795311091\%} of {221.8}.

#### Solution for 221.8 is what percent of 120:

221.8:120*100 =

(221.8*100):120 =

22180:120 = 184.83333333333

Now we have: 221.8 is what percent of 120 = 184.83333333333

Question: 221.8 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\%}={221.8}.

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

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

{x\%}={221.8}(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}{221.8}

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

\frac{x\%}{100\%}=\frac{221.8}{120}

\Rightarrow{x} = {184.83333333333\%}

Therefore, {221.8} is {184.83333333333\%} of {120}.

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