#### Solution for 86 is what percent of 9:

86:9*100 =

(86*100):9 =

8600:9 = 955.56

Now we have: 86 is what percent of 9 = 955.56

Question: 86 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\%}={86}.

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

{100\%}={9}(1).

{x\%}={86}(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}{86}

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

\frac{x\%}{100\%}=\frac{86}{9}

\Rightarrow{x} = {955.56\%}

Therefore, {86} is {955.56\%} of {9}.

#### Solution for 9 is what percent of 86:

9:86*100 =

(9*100):86 =

900:86 = 10.47

Now we have: 9 is what percent of 86 = 10.47

Question: 9 is what percent of 86?

Percentage solution with steps:

Step 1: We make the assumption that 86 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\%}={86}.

Step 4: In the same vein, {x\%}={9}.

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

{100\%}={86}(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{86}{9}

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

\frac{x\%}{100\%}=\frac{9}{86}

\Rightarrow{x} = {10.47\%}

Therefore, {9} is {10.47\%} of {86}.

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