#### Solution for 4.5 is what percent of 5:

4.5: 5*100 =

(4.5*100): 5 =

450: 5 = 90

Now we have: 4.5 is what percent of 5 = 90

Question: 4.5 is what percent of 5?

Percentage solution with steps:

Step 1: We make the assumption that 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\%}={ 5}.

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

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

{100\%}={ 5}(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{ 5}{4.5}

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

\frac{x\%}{100\%}=\frac{4.5}{ 5}

\Rightarrow{x} = {90\%}

Therefore, {4.5} is {90\%} of { 5}.

#### Solution for 5 is what percent of 4.5:

5:4.5*100 =

( 5*100):4.5 =

500:4.5 = 111.11111111111

Now we have: 5 is what percent of 4.5 = 111.11111111111

Question: 5 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\%}={ 5}.

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

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

{x\%}={ 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{4.5}{ 5}

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

\frac{x\%}{100\%}=\frac{ 5}{4.5}

\Rightarrow{x} = {111.11111111111\%}

Therefore, { 5} is {111.11111111111\%} of {4.5}.

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