#### Solution for 301 is what percent of 600:

301: 600*100 =

(301*100): 600 =

30100: 600 = 50.17

Now we have: 301 is what percent of 600 = 50.17

Question: 301 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\%}={301}.

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

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

{x\%}={301}(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}{301}

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

\frac{x\%}{100\%}=\frac{301}{ 600}

\Rightarrow{x} = {50.17\%}

Therefore, {301} is {50.17\%} of { 600}.

#### Solution for 600 is what percent of 301:

600:301*100 =

( 600*100):301 =

60000:301 = 199.34

Now we have: 600 is what percent of 301 = 199.34

Question: 600 is what percent of 301?

Percentage solution with steps:

Step 1: We make the assumption that 301 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\%}={301}.

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

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

{100\%}={301}(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{301}{ 600}

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

\frac{x\%}{100\%}=\frac{ 600}{301}

\Rightarrow{x} = {199.34\%}

Therefore, { 600} is {199.34\%} of {301}.

Calculation Samples