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Solution for 5.2 is what percent of 12.2:

5.2:12.2*100 =

(5.2*100):12.2 =

520:12.2 = 42.622950819672

Now we have: 5.2 is what percent of 12.2 = 42.622950819672

Question: 5.2 is what percent of 12.2?

Percentage solution with steps:

Step 1: We make the assumption that 12.2 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\%}={12.2}.

Step 4: In the same vein, {x\%}={5.2}.

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

{100\%}={12.2}(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{12.2}{5.2}

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

\frac{x\%}{100\%}=\frac{5.2}{12.2}

\Rightarrow{x} = {42.622950819672\%}

Therefore, {5.2} is {42.622950819672\%} of {12.2}.

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Solution for 12.2 is what percent of 5.2:

12.2:5.2*100 =

(12.2*100):5.2 =

1220:5.2 = 234.61538461538

Now we have: 12.2 is what percent of 5.2 = 234.61538461538

Question: 12.2 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\%}={12.2}.

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

{100\%}={5.2}(1).

{x\%}={12.2}(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}{12.2}

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

\frac{x\%}{100\%}=\frac{12.2}{5.2}

\Rightarrow{x} = {234.61538461538\%}

Therefore, {12.2} is {234.61538461538\%} of {5.2}.