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Solution for 102 is what percent of 91:

102:91*100 =

(102*100):91 =

10200:91 = 112.09

Now we have: 102 is what percent of 91 = 112.09

Question: 102 is what percent of 91?

Percentage solution with steps:

Step 1: We make the assumption that 91 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\%}={91}.

Step 4: In the same vein, {x\%}={102}.

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

{100\%}={91}(1).

{x\%}={102}(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{91}{102}

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

\frac{x\%}{100\%}=\frac{102}{91}

\Rightarrow{x} = {112.09\%}

Therefore, {102} is {112.09\%} of {91}.

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Solution for 91 is what percent of 102:

91:102*100 =

(91*100):102 =

9100:102 = 89.22

Now we have: 91 is what percent of 102 = 89.22

Question: 91 is what percent of 102?

Percentage solution with steps:

Step 1: We make the assumption that 102 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\%}={102}.

Step 4: In the same vein, {x\%}={91}.

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

{100\%}={102}(1).

{x\%}={91}(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{102}{91}

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

\frac{x\%}{100\%}=\frac{91}{102}

\Rightarrow{x} = {89.22\%}

Therefore, {91} is {89.22\%} of {102}.