#### Solution for 91 is what percent of 230:

91:230*100 =

(91*100):230 =

9100:230 = 39.57

Now we have: 91 is what percent of 230 = 39.57

Question: 91 is what percent of 230?

Percentage solution with steps:

Step 1: We make the assumption that 230 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\%}={230}.

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

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

{100\%}={230}(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{230}{91}

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

\frac{x\%}{100\%}=\frac{91}{230}

\Rightarrow{x} = {39.57\%}

Therefore, {91} is {39.57\%} of {230}.

#### Solution for 230 is what percent of 91:

230:91*100 =

(230*100):91 =

23000:91 = 252.75

Now we have: 230 is what percent of 91 = 252.75

Question: 230 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\%}={230}.

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

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

{x\%}={230}(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}{230}

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

\frac{x\%}{100\%}=\frac{230}{91}

\Rightarrow{x} = {252.75\%}

Therefore, {230} is {252.75\%} of {91}.

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