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Solution for 3.00 is what percent of 4.50:

3.00:4.50*100 =

(3.00*100):4.50 =

300:4.50 = 66.666666666667

Now we have: 3.00 is what percent of 4.50 = 66.666666666667

Question: 3.00 is what percent of 4.50?

Percentage solution with steps:

Step 1: We make the assumption that 4.50 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\%}={4.50}.

Step 4: In the same vein, {x\%}={3.00}.

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

{100\%}={4.50}(1).

{x\%}={3.00}(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{4.50}{3.00}

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

\frac{x\%}{100\%}=\frac{3.00}{4.50}

\Rightarrow{x} = {66.666666666667\%}

Therefore, {3.00} is {66.666666666667\%} of {4.50}.

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Solution for 4.50 is what percent of 3.00:

4.50:3.00*100 =

(4.50*100):3.00 =

450:3.00 = 150

Now we have: 4.50 is what percent of 3.00 = 150

Question: 4.50 is what percent of 3.00?

Percentage solution with steps:

Step 1: We make the assumption that 3.00 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\%}={3.00}.

Step 4: In the same vein, {x\%}={4.50}.

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

{100\%}={3.00}(1).

{x\%}={4.50}(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{3.00}{4.50}

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

\frac{x\%}{100\%}=\frac{4.50}{3.00}

\Rightarrow{x} = {150\%}

Therefore, {4.50} is {150\%} of {3.00}.