#### Solution for 1.2 is what percent of 5.2:

1.2:5.2*100 =

(1.2*100):5.2 =

120:5.2 = 23.076923076923

Now we have: 1.2 is what percent of 5.2 = 23.076923076923

Question: 1.2 is what percent of 5.2?

Percentage solution with steps:

Step 1: We make the assumption that 5.2 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\%}={5.2}.

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

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

{100\%}={5.2}(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{5.2}{1.2}

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

\frac{x\%}{100\%}=\frac{1.2}{5.2}

\Rightarrow{x} = {23.076923076923\%}

Therefore, {1.2} is {23.076923076923\%} of {5.2}.

#### Solution for 5.2 is what percent of 1.2:

5.2:1.2*100 =

(5.2*100):1.2 =

520:1.2 = 433.33333333333

Now we have: 5.2 is what percent of 1.2 = 433.33333333333

Question: 5.2 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\%}={5.2}.

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

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

{x\%}={5.2}(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{1.2}{5.2}

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

\frac{x\%}{100\%}=\frac{5.2}{1.2}

\Rightarrow{x} = {433.33333333333\%}

Therefore, {5.2} is {433.33333333333\%} of {1.2}.

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