#### Solution for 120 is what percent of 1205:

120:1205*100 =

(120*100):1205 =

12000:1205 = 9.96

Now we have: 120 is what percent of 1205 = 9.96

Question: 120 is what percent of 1205?

Percentage solution with steps:

Step 1: We make the assumption that 1205 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\%}={1205}.

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

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

{100\%}={1205}(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{1205}{120}

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

\frac{x\%}{100\%}=\frac{120}{1205}

\Rightarrow{x} = {9.96\%}

Therefore, {120} is {9.96\%} of {1205}.

#### Solution for 1205 is what percent of 120:

1205:120*100 =

(1205*100):120 =

120500:120 = 1004.17

Now we have: 1205 is what percent of 120 = 1004.17

Question: 1205 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\%}={1205}.

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

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

{x\%}={1205}(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}{1205}

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

\frac{x\%}{100\%}=\frac{1205}{120}

\Rightarrow{x} = {1004.17\%}

Therefore, {1205} is {1004.17\%} of {120}.

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