#### Solution for 396 is what percent of 600:

396:600*100 =

(396*100):600 =

39600:600 = 66

Now we have: 396 is what percent of 600 = 66

Question: 396 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\%}={396}.

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

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

{x\%}={396}(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}{396}

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

\frac{x\%}{100\%}=\frac{396}{600}

\Rightarrow{x} = {66\%}

Therefore, {396} is {66\%} of {600}.

#### Solution for 600 is what percent of 396:

600:396*100 =

(600*100):396 =

60000:396 = 151.52

Now we have: 600 is what percent of 396 = 151.52

Question: 600 is what percent of 396?

Percentage solution with steps:

Step 1: We make the assumption that 396 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\%}={396}.

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

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

{100\%}={396}(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{396}{600}

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

\frac{x\%}{100\%}=\frac{600}{396}

\Rightarrow{x} = {151.52\%}

Therefore, {600} is {151.52\%} of {396}.

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