#### Solution for 8.00 is what percent of 35:

8.00:35*100 =

(8.00*100):35 =

800:35 = 22.857142857143

Now we have: 8.00 is what percent of 35 = 22.857142857143

Question: 8.00 is what percent of 35?

Percentage solution with steps:

Step 1: We make the assumption that 35 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\%}={35}.

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

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

{100\%}={35}(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{35}{8.00}

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

\frac{x\%}{100\%}=\frac{8.00}{35}

\Rightarrow{x} = {22.857142857143\%}

Therefore, {8.00} is {22.857142857143\%} of {35}.

#### Solution for 35 is what percent of 8.00:

35:8.00*100 =

(35*100):8.00 =

3500:8.00 = 437.5

Now we have: 35 is what percent of 8.00 = 437.5

Question: 35 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\%}={35}.

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

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

{x\%}={35}(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}{35}

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

\frac{x\%}{100\%}=\frac{35}{8.00}

\Rightarrow{x} = {437.5\%}

Therefore, {35} is {437.5\%} of {8.00}.

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