#### Solution for 45 is what percent of 112:

45: 112*100 =

(45*100): 112 =

4500: 112 = 40.18

Now we have: 45 is what percent of 112 = 40.18

Question: 45 is what percent of 112?

Percentage solution with steps:

Step 1: We make the assumption that 112 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\%}={ 112}.

Step 4: In the same vein, {x\%}={45}.

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

{100\%}={ 112}(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{ 112}{45}

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

\frac{x\%}{100\%}=\frac{45}{ 112}

\Rightarrow{x} = {40.18\%}

Therefore, {45} is {40.18\%} of { 112}.

#### Solution for 112 is what percent of 45:

112:45*100 =

( 112*100):45 =

11200:45 = 248.89

Now we have: 112 is what percent of 45 = 248.89

Question: 112 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\%}={ 112}.

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

{100\%}={45}(1).

{x\%}={ 112}(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}{ 112}

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

\frac{x\%}{100\%}=\frac{ 112}{45}

\Rightarrow{x} = {248.89\%}

Therefore, { 112} is {248.89\%} of {45}.

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