#### Solution for 390 is what percent of 600:

390:600*100 =

(390*100):600 =

39000:600 = 65

Now we have: 390 is what percent of 600 = 65

Question: 390 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\%}={390}.

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

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

{x\%}={390}(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}{390}

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

\frac{x\%}{100\%}=\frac{390}{600}

\Rightarrow{x} = {65\%}

Therefore, {390} is {65\%} of {600}.

#### Solution for 600 is what percent of 390:

600:390*100 =

(600*100):390 =

60000:390 = 153.85

Now we have: 600 is what percent of 390 = 153.85

Question: 600 is what percent of 390?

Percentage solution with steps:

Step 1: We make the assumption that 390 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\%}={390}.

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

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

{100\%}={390}(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{390}{600}

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

\frac{x\%}{100\%}=\frac{600}{390}

\Rightarrow{x} = {153.85\%}

Therefore, {600} is {153.85\%} of {390}.

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