#### Solution for 389 is what percent of 600:

389:600*100 =

(389*100):600 =

38900:600 = 64.83

Now we have: 389 is what percent of 600 = 64.83

Question: 389 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\%}={389}.

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

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

{x\%}={389}(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}{389}

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

\frac{x\%}{100\%}=\frac{389}{600}

\Rightarrow{x} = {64.83\%}

Therefore, {389} is {64.83\%} of {600}.

#### Solution for 600 is what percent of 389:

600:389*100 =

(600*100):389 =

60000:389 = 154.24

Now we have: 600 is what percent of 389 = 154.24

Question: 600 is what percent of 389?

Percentage solution with steps:

Step 1: We make the assumption that 389 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\%}={389}.

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

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

{100\%}={389}(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{389}{600}

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

\frac{x\%}{100\%}=\frac{600}{389}

\Rightarrow{x} = {154.24\%}

Therefore, {600} is {154.24\%} of {389}.

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