#### Solution for 9 is what percent of 8.2:

9:8.2*100 =

(9*100):8.2 =

900:8.2 = 109.75609756098

Now we have: 9 is what percent of 8.2 = 109.75609756098

Question: 9 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\%}={9}.

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

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

{x\%}={9}(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}{9}

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

\frac{x\%}{100\%}=\frac{9}{8.2}

\Rightarrow{x} = {109.75609756098\%}

Therefore, {9} is {109.75609756098\%} of {8.2}.

#### Solution for 8.2 is what percent of 9:

8.2:9*100 =

(8.2*100):9 =

820:9 = 91.111111111111

Now we have: 8.2 is what percent of 9 = 91.111111111111

Question: 8.2 is what percent of 9?

Percentage solution with steps:

Step 1: We make the assumption that 9 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\%}={9}.

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

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

{100\%}={9}(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{9}{8.2}

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

\frac{x\%}{100\%}=\frac{8.2}{9}

\Rightarrow{x} = {91.111111111111\%}

Therefore, {8.2} is {91.111111111111\%} of {9}.

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