#### Solution for 122 is what percent of 301:

122:301*100 =

(122*100):301 =

12200:301 = 40.53

Now we have: 122 is what percent of 301 = 40.53

Question: 122 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\%}={122}.

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

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

{x\%}={122}(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}{122}

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

\frac{x\%}{100\%}=\frac{122}{301}

\Rightarrow{x} = {40.53\%}

Therefore, {122} is {40.53\%} of {301}.

#### Solution for 301 is what percent of 122:

301:122*100 =

(301*100):122 =

30100:122 = 246.72

Now we have: 301 is what percent of 122 = 246.72

Question: 301 is what percent of 122?

Percentage solution with steps:

Step 1: We make the assumption that 122 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\%}={122}.

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

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

{100\%}={122}(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{122}{301}

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

\frac{x\%}{100\%}=\frac{301}{122}

\Rightarrow{x} = {246.72\%}

Therefore, {301} is {246.72\%} of {122}.

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