#### Solution for 1200 is what percent of 4500:

1200:4500*100 =

(1200*100):4500 =

120000:4500 = 26.67

Now we have: 1200 is what percent of 4500 = 26.67

Question: 1200 is what percent of 4500?

Percentage solution with steps:

Step 1: We make the assumption that 4500 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\%}={4500}.

Step 4: In the same vein, {x\%}={1200}.

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

{100\%}={4500}(1).

{x\%}={1200}(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{4500}{1200}

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

\frac{x\%}{100\%}=\frac{1200}{4500}

\Rightarrow{x} = {26.67\%}

Therefore, {1200} is {26.67\%} of {4500}.

#### Solution for 4500 is what percent of 1200:

4500:1200*100 =

(4500*100):1200 =

450000:1200 = 375

Now we have: 4500 is what percent of 1200 = 375

Question: 4500 is what percent of 1200?

Percentage solution with steps:

Step 1: We make the assumption that 1200 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\%}={1200}.

Step 4: In the same vein, {x\%}={4500}.

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

{100\%}={1200}(1).

{x\%}={4500}(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{1200}{4500}

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

\frac{x\%}{100\%}=\frac{4500}{1200}

\Rightarrow{x} = {375\%}

Therefore, {4500} is {375\%} of {1200}.

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