#### Solution for 45 is what percent of 57.75:

45:57.75*100 =

(45*100):57.75 =

4500:57.75 = 77.922077922078

Now we have: 45 is what percent of 57.75 = 77.922077922078

Question: 45 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\%}={45}.

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

{100\%}={57.75}(1).

{x\%}={45}(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}{45}

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

\frac{x\%}{100\%}=\frac{45}{57.75}

\Rightarrow{x} = {77.922077922078\%}

Therefore, {45} is {77.922077922078\%} of {57.75}.

#### Solution for 57.75 is what percent of 45:

57.75:45*100 =

(57.75*100):45 =

5775:45 = 128.33333333333

Now we have: 57.75 is what percent of 45 = 128.33333333333

Question: 57.75 is what percent of 45?

Percentage solution with steps:

Step 1: We make the assumption that 45 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\%}={45}.

Step 4: In the same vein, {x\%}={57.75}.

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

{100\%}={45}(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{45}{57.75}

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

\frac{x\%}{100\%}=\frac{57.75}{45}

\Rightarrow{x} = {128.33333333333\%}

Therefore, {57.75} is {128.33333333333\%} of {45}.

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