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Solution for 5.5 is what percent of 25.6:

5.5:25.6*100 =

(5.5*100):25.6 =

550:25.6 = 21.484375

Now we have: 5.5 is what percent of 25.6 = 21.484375

Question: 5.5 is what percent of 25.6?

Percentage solution with steps:

Step 1: We make the assumption that 25.6 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\%}={25.6}.

Step 4: In the same vein, {x\%}={5.5}.

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

{100\%}={25.6}(1).

{x\%}={5.5}(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{25.6}{5.5}

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

\frac{x\%}{100\%}=\frac{5.5}{25.6}

\Rightarrow{x} = {21.484375\%}

Therefore, {5.5} is {21.484375\%} of {25.6}.

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• 5.5 is what percent of 100 = 5.5

Solution for 25.6 is what percent of 5.5:

25.6:5.5*100 =

(25.6*100):5.5 =

2560:5.5 = 465.45454545455

Now we have: 25.6 is what percent of 5.5 = 465.45454545455

Question: 25.6 is what percent of 5.5?

Percentage solution with steps:

Step 1: We make the assumption that 5.5 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\%}={5.5}.

Step 4: In the same vein, {x\%}={25.6}.

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

{100\%}={5.5}(1).

{x\%}={25.6}(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{5.5}{25.6}

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

\frac{x\%}{100\%}=\frac{25.6}{5.5}

\Rightarrow{x} = {465.45454545455\%}

Therefore, {25.6} is {465.45454545455\%} of {5.5}.