#### Solution for 11.8 is what percent of 86:

11.8:86*100 =

(11.8*100):86 =

1180:86 = 13.720930232558

Now we have: 11.8 is what percent of 86 = 13.720930232558

Question: 11.8 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\%}={11.8}.

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

{100\%}={86}(1).

{x\%}={11.8}(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}{11.8}

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

\frac{x\%}{100\%}=\frac{11.8}{86}

\Rightarrow{x} = {13.720930232558\%}

Therefore, {11.8} is {13.720930232558\%} of {86}.

#### Solution for 86 is what percent of 11.8:

86:11.8*100 =

(86*100):11.8 =

8600:11.8 = 728.81355932203

Now we have: 86 is what percent of 11.8 = 728.81355932203

Question: 86 is what percent of 11.8?

Percentage solution with steps:

Step 1: We make the assumption that 11.8 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\%}={11.8}.

Step 4: In the same vein, {x\%}={86}.

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

{100\%}={11.8}(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{11.8}{86}

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

\frac{x\%}{100\%}=\frac{86}{11.8}

\Rightarrow{x} = {728.81355932203\%}

Therefore, {86} is {728.81355932203\%} of {11.8}.

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