#### Solution for 4 is what percent of 4.5:

4: 4.5*100 =

(4*100): 4.5 =

400: 4.5 = 88.888888888889

Now we have: 4 is what percent of 4.5 = 88.888888888889

Question: 4 is what percent of 4.5?

Percentage solution with steps:

Step 1: We make the assumption that 4.5 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\%}={ 4.5}.

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

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

{100\%}={ 4.5}(1).

{x\%}={4}(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{ 4.5}{4}

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

\frac{x\%}{100\%}=\frac{4}{ 4.5}

\Rightarrow{x} = {88.888888888889\%}

Therefore, {4} is {88.888888888889\%} of { 4.5}.

#### Solution for 4.5 is what percent of 4:

4.5:4*100 =

( 4.5*100):4 =

450:4 = 112.5

Now we have: 4.5 is what percent of 4 = 112.5

Question: 4.5 is what percent of 4?

Percentage solution with steps:

Step 1: We make the assumption that 4 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\%}={4}.

Step 4: In the same vein, {x\%}={ 4.5}.

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

{100\%}={4}(1).

{x\%}={ 4.5}(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{4}{ 4.5}

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

\frac{x\%}{100\%}=\frac{ 4.5}{4}

\Rightarrow{x} = {112.5\%}

Therefore, { 4.5} is {112.5\%} of {4}.

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