#### Solution for 4 is what percent of 8.2:

4:8.2*100 =

(4*100):8.2 =

400:8.2 = 48.780487804878

Now we have: 4 is what percent of 8.2 = 48.780487804878

Question: 4 is what percent of 8.2?

Percentage solution with steps:

Step 1: We make the assumption that 8.2 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\%}={8.2}.

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

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

{100\%}={8.2}(1).

{x\%}={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{8.2}{4}

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

\frac{x\%}{100\%}=\frac{4}{8.2}

\Rightarrow{x} = {48.780487804878\%}

Therefore, {4} is {48.780487804878\%} of {8.2}.

#### Solution for 8.2 is what percent of 4:

8.2:4*100 =

(8.2*100):4 =

820:4 = 205

Now we have: 8.2 is what percent of 4 = 205

Question: 8.2 is what percent of 4?

Percentage solution with steps:

Step 1: We make the assumption that 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\%}={4}.

Step 4: In the same vein, {x\%}={8.2}.

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

{100\%}={4}(1).

{x\%}={8.2}(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{4}{8.2}

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

\frac{x\%}{100\%}=\frac{8.2}{4}

\Rightarrow{x} = {205\%}

Therefore, {8.2} is {205\%} of {4}.

Calculation Samples