#### Solution for 8.00 is what percent of 5.00:

8.00:5.00*100 =

(8.00*100):5.00 =

800:5.00 = 160

Now we have: 8.00 is what percent of 5.00 = 160

Question: 8.00 is what percent of 5.00?

Percentage solution with steps:

Step 1: We make the assumption that 5.00 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\%}={5.00}.

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

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

{100\%}={5.00}(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{5.00}{8.00}

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

\frac{x\%}{100\%}=\frac{8.00}{5.00}

\Rightarrow{x} = {160\%}

Therefore, {8.00} is {160\%} of {5.00}.

#### Solution for 5.00 is what percent of 8.00:

5.00:8.00*100 =

(5.00*100):8.00 =

500:8.00 = 62.5

Now we have: 5.00 is what percent of 8.00 = 62.5

Question: 5.00 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\%}={5.00}.

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

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

{x\%}={5.00}(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{8.00}{5.00}

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

\frac{x\%}{100\%}=\frac{5.00}{8.00}

\Rightarrow{x} = {62.5\%}

Therefore, {5.00} is {62.5\%} of {8.00}.

Calculation Samples