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Solution for 46 is what percent of 41:

46:41*100 =

(46*100):41 =

4600:41 = 112.2

Now we have: 46 is what percent of 41 = 112.2

Question: 46 is what percent of 41?

Percentage solution with steps:

Step 1: We make the assumption that 41 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\%}={41}.

Step 4: In the same vein, {x\%}={46}.

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

{100\%}={41}(1).

{x\%}={46}(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{41}{46}

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

\frac{x\%}{100\%}=\frac{46}{41}

\Rightarrow{x} = {112.2\%}

Therefore, {46} is {112.2\%} of {41}.

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Solution for 41 is what percent of 46:

41:46*100 =

(41*100):46 =

4100:46 = 89.13

Now we have: 41 is what percent of 46 = 89.13

Question: 41 is what percent of 46?

Percentage solution with steps:

Step 1: We make the assumption that 46 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\%}={46}.

Step 4: In the same vein, {x\%}={41}.

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

{100\%}={46}(1).

{x\%}={41}(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{46}{41}

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

\frac{x\%}{100\%}=\frac{41}{46}

\Rightarrow{x} = {89.13\%}

Therefore, {41} is {89.13\%} of {46}.