#### Solution for 450 is what percent of 600:

450:600*100 =

(450*100):600 =

45000:600 = 75

Now we have: 450 is what percent of 600 = 75

Question: 450 is what percent of 600?

Percentage solution with steps:

Step 1: We make the assumption that 600 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\%}={600}.

Step 4: In the same vein, {x\%}={450}.

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

{100\%}={600}(1).

{x\%}={450}(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{600}{450}

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

\frac{x\%}{100\%}=\frac{450}{600}

\Rightarrow{x} = {75\%}

Therefore, {450} is {75\%} of {600}.

#### Solution for 600 is what percent of 450:

600:450*100 =

(600*100):450 =

60000:450 = 133.33

Now we have: 600 is what percent of 450 = 133.33

Question: 600 is what percent of 450?

Percentage solution with steps:

Step 1: We make the assumption that 450 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\%}={450}.

Step 4: In the same vein, {x\%}={600}.

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

{100\%}={450}(1).

{x\%}={600}(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{450}{600}

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

\frac{x\%}{100\%}=\frac{600}{450}

\Rightarrow{x} = {133.33\%}

Therefore, {600} is {133.33\%} of {450}.

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