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Solution for 91 is what percent of 40:

91:40*100 =

(91*100):40 =

9100:40 = 227.5

Now we have: 91 is what percent of 40 = 227.5

Question: 91 is what percent of 40?

Percentage solution with steps:

Step 1: We make the assumption that 40 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\%}={40}.

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

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

{100\%}={40}(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{40}{91}

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

\frac{x\%}{100\%}=\frac{91}{40}

\Rightarrow{x} = {227.5\%}

Therefore, {91} is {227.5\%} of {40}.

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Solution for 40 is what percent of 91:

40:91*100 =

(40*100):91 =

4000:91 = 43.96

Now we have: 40 is what percent of 91 = 43.96

Question: 40 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\%}={40}.

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

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

{x\%}={40}(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}{40}

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

\frac{x\%}{100\%}=\frac{40}{91}

\Rightarrow{x} = {43.96\%}

Therefore, {40} is {43.96\%} of {91}.