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Solution for 101 is what percent of 91:

101:91*100 =

(101*100):91 =

10100:91 = 110.99

Now we have: 101 is what percent of 91 = 110.99

Question: 101 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\%}={101}.

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

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

{x\%}={101}(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}{101}

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

\frac{x\%}{100\%}=\frac{101}{91}

\Rightarrow{x} = {110.99\%}

Therefore, {101} is {110.99\%} of {91}.

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Solution for 91 is what percent of 101:

91:101*100 =

(91*100):101 =

9100:101 = 90.1

Now we have: 91 is what percent of 101 = 90.1

Question: 91 is what percent of 101?

Percentage solution with steps:

Step 1: We make the assumption that 101 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\%}={101}.

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

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

{100\%}={101}(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{101}{91}

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

\frac{x\%}{100\%}=\frac{91}{101}

\Rightarrow{x} = {90.1\%}

Therefore, {91} is {90.1\%} of {101}.