#### Solution for 1.2 is what percent of 3:

1.2:3*100 =

(1.2*100):3 =

120:3 = 40

Now we have: 1.2 is what percent of 3 = 40

Question: 1.2 is what percent of 3?

Percentage solution with steps:

Step 1: We make the assumption that 3 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\%}={3}.

Step 4: In the same vein, {x\%}={1.2}.

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

{100\%}={3}(1).

{x\%}={1.2}(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{3}{1.2}

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

\frac{x\%}{100\%}=\frac{1.2}{3}

\Rightarrow{x} = {40\%}

Therefore, {1.2} is {40\%} of {3}.

#### Solution for 3 is what percent of 1.2:

3:1.2*100 =

(3*100):1.2 =

300:1.2 = 250

Now we have: 3 is what percent of 1.2 = 250

Question: 3 is what percent of 1.2?

Percentage solution with steps:

Step 1: We make the assumption that 1.2 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\%}={1.2}.

Step 4: In the same vein, {x\%}={3}.

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

{100\%}={1.2}(1).

{x\%}={3}(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{1.2}{3}

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

\frac{x\%}{100\%}=\frac{3}{1.2}

\Rightarrow{x} = {250\%}

Therefore, {3} is {250\%} of {1.2}.

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