#### Solution for 285 is what percent of 291:

285:291*100 =

(285*100):291 =

28500:291 = 97.94

Now we have: 285 is what percent of 291 = 97.94

Question: 285 is what percent of 291?

Percentage solution with steps:

Step 1: We make the assumption that 291 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\%}={291}.

Step 4: In the same vein, {x\%}={285}.

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

{100\%}={291}(1).

{x\%}={285}(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{291}{285}

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

\frac{x\%}{100\%}=\frac{285}{291}

\Rightarrow{x} = {97.94\%}

Therefore, {285} is {97.94\%} of {291}.

#### Solution for 291 is what percent of 285:

291:285*100 =

(291*100):285 =

29100:285 = 102.11

Now we have: 291 is what percent of 285 = 102.11

Question: 291 is what percent of 285?

Percentage solution with steps:

Step 1: We make the assumption that 285 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\%}={285}.

Step 4: In the same vein, {x\%}={291}.

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

{100\%}={285}(1).

{x\%}={291}(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{285}{291}

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

\frac{x\%}{100\%}=\frac{291}{285}

\Rightarrow{x} = {102.11\%}

Therefore, {291} is {102.11\%} of {285}.

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