#### Solution for 86 is what percent of 488:

86:488*100 =

(86*100):488 =

8600:488 = 17.62

Now we have: 86 is what percent of 488 = 17.62

Question: 86 is what percent of 488?

Percentage solution with steps:

Step 1: We make the assumption that 488 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\%}={488}.

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

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

{100\%}={488}(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{488}{86}

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

\frac{x\%}{100\%}=\frac{86}{488}

\Rightarrow{x} = {17.62\%}

Therefore, {86} is {17.62\%} of {488}.

#### Solution for 488 is what percent of 86:

488:86*100 =

(488*100):86 =

48800:86 = 567.44

Now we have: 488 is what percent of 86 = 567.44

Question: 488 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\%}={488}.

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

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

{x\%}={488}(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}{488}

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

\frac{x\%}{100\%}=\frac{488}{86}

\Rightarrow{x} = {567.44\%}

Therefore, {488} is {567.44\%} of {86}.

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