#### Solution for 5.2 is what percent of 39.95:

5.2:39.95*100 =

(5.2*100):39.95 =

520:39.95 = 13.016270337922

Now we have: 5.2 is what percent of 39.95 = 13.016270337922

Question: 5.2 is what percent of 39.95?

Percentage solution with steps:

Step 1: We make the assumption that 39.95 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\%}={39.95}.

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

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

{100\%}={39.95}(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{39.95}{5.2}

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

\frac{x\%}{100\%}=\frac{5.2}{39.95}

\Rightarrow{x} = {13.016270337922\%}

Therefore, {5.2} is {13.016270337922\%} of {39.95}.

#### Solution for 39.95 is what percent of 5.2:

39.95:5.2*100 =

(39.95*100):5.2 =

3995:5.2 = 768.26923076923

Now we have: 39.95 is what percent of 5.2 = 768.26923076923

Question: 39.95 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\%}={39.95}.

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

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

{x\%}={39.95}(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}{39.95}

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

\frac{x\%}{100\%}=\frac{39.95}{5.2}

\Rightarrow{x} = {768.26923076923\%}

Therefore, {39.95} is {768.26923076923\%} of {5.2}.

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