#### Solution for 46 is what percent of 57.75:

46:57.75*100 =

(46*100):57.75 =

4600:57.75 = 79.65367965368

Now we have: 46 is what percent of 57.75 = 79.65367965368

Question: 46 is what percent of 57.75?

Percentage solution with steps:

Step 1: We make the assumption that 57.75 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\%}={57.75}.

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

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

{100\%}={57.75}(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{57.75}{46}

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

\frac{x\%}{100\%}=\frac{46}{57.75}

\Rightarrow{x} = {79.65367965368\%}

Therefore, {46} is {79.65367965368\%} of {57.75}.

#### Solution for 57.75 is what percent of 46:

57.75:46*100 =

(57.75*100):46 =

5775:46 = 125.54347826087

Now we have: 57.75 is what percent of 46 = 125.54347826087

Question: 57.75 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\%}={57.75}.

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

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

{x\%}={57.75}(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}{57.75}

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

\frac{x\%}{100\%}=\frac{57.75}{46}

\Rightarrow{x} = {125.54347826087\%}

Therefore, {57.75} is {125.54347826087\%} of {46}.

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