#### Solution for 5.50 is what percent of 8.00:

5.50:8.00*100 =

(5.50*100):8.00 =

550:8.00 = 68.75

Now we have: 5.50 is what percent of 8.00 = 68.75

Question: 5.50 is what percent of 8.00?

Percentage solution with steps:

Step 1: We make the assumption that 8.00 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\%}={8.00}.

Step 4: In the same vein, {x\%}={5.50}.

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

{100\%}={8.00}(1).

{x\%}={5.50}(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{8.00}{5.50}

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

\frac{x\%}{100\%}=\frac{5.50}{8.00}

\Rightarrow{x} = {68.75\%}

Therefore, {5.50} is {68.75\%} of {8.00}.

#### Solution for 8.00 is what percent of 5.50:

8.00:5.50*100 =

(8.00*100):5.50 =

800:5.50 = 145.45454545455

Now we have: 8.00 is what percent of 5.50 = 145.45454545455

Question: 8.00 is what percent of 5.50?

Percentage solution with steps:

Step 1: We make the assumption that 5.50 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\%}={5.50}.

Step 4: In the same vein, {x\%}={8.00}.

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

{100\%}={5.50}(1).

{x\%}={8.00}(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{5.50}{8.00}

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

\frac{x\%}{100\%}=\frac{8.00}{5.50}

\Rightarrow{x} = {145.45454545455\%}

Therefore, {8.00} is {145.45454545455\%} of {5.50}.

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