#### Solution for 5.2 is what percent of 10.4:

5.2:10.4*100 =

(5.2*100):10.4 =

520:10.4 = 50

Now we have: 5.2 is what percent of 10.4 = 50

Question: 5.2 is what percent of 10.4?

Percentage solution with steps:

Step 1: We make the assumption that 10.4 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\%}={10.4}.

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

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

{100\%}={10.4}(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{10.4}{5.2}

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

\frac{x\%}{100\%}=\frac{5.2}{10.4}

\Rightarrow{x} = {50\%}

Therefore, {5.2} is {50\%} of {10.4}.

#### Solution for 10.4 is what percent of 5.2:

10.4:5.2*100 =

(10.4*100):5.2 =

1040:5.2 = 200

Now we have: 10.4 is what percent of 5.2 = 200

Question: 10.4 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\%}={10.4}.

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

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

{x\%}={10.4}(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}{10.4}

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

\frac{x\%}{100\%}=\frac{10.4}{5.2}

\Rightarrow{x} = {200\%}

Therefore, {10.4} is {200\%} of {5.2}.

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