#### Solution for 200 is what percent of 301:

200:301*100 =

(200*100):301 =

20000:301 = 66.45

Now we have: 200 is what percent of 301 = 66.45

Question: 200 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\%}={200}.

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

{100\%}={301}(1).

{x\%}={200}(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}{200}

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

\frac{x\%}{100\%}=\frac{200}{301}

\Rightarrow{x} = {66.45\%}

Therefore, {200} is {66.45\%} of {301}.

#### Solution for 301 is what percent of 200:

301:200*100 =

(301*100):200 =

30100:200 = 150.5

Now we have: 301 is what percent of 200 = 150.5

Question: 301 is what percent of 200?

Percentage solution with steps:

Step 1: We make the assumption that 200 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\%}={200}.

Step 4: In the same vein, {x\%}={301}.

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

{100\%}={200}(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{200}{301}

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

\frac{x\%}{100\%}=\frac{301}{200}

\Rightarrow{x} = {150.5\%}

Therefore, {301} is {150.5\%} of {200}.

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