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Solution for 57 is what percent of 46:

57:46*100 =

(57*100):46 =

5700:46 = 123.91

Now we have: 57 is what percent of 46 = 123.91

Question: 57 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\%}={57}.

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

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

{x\%}={57}(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}{57}

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

\frac{x\%}{100\%}=\frac{57}{46}

\Rightarrow{x} = {123.91\%}

Therefore, {57} is {123.91\%} of {46}.

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Solution for 46 is what percent of 57:

46:57*100 =

(46*100):57 =

4600:57 = 80.7

Now we have: 46 is what percent of 57 = 80.7

Question: 46 is what percent of 57?

Percentage solution with steps:

Step 1: We make the assumption that 57 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\%}={57}.

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

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

{100\%}={57}(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{57}{46}

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

\frac{x\%}{100\%}=\frac{46}{57}

\Rightarrow{x} = {80.7\%}

Therefore, {46} is {80.7\%} of {57}.