#### Solution for 74 is what percent of 121:

74:121*100 =

(74*100):121 =

7400:121 = 61.16

Now we have: 74 is what percent of 121 = 61.16

Question: 74 is what percent of 121?

Percentage solution with steps:

Step 1: We make the assumption that 121 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\%}={121}.

Step 4: In the same vein, {x\%}={74}.

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

{100\%}={121}(1).

{x\%}={74}(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{121}{74}

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

\frac{x\%}{100\%}=\frac{74}{121}

\Rightarrow{x} = {61.16\%}

Therefore, {74} is {61.16\%} of {121}.

#### Solution for 121 is what percent of 74:

121:74*100 =

(121*100):74 =

12100:74 = 163.51

Now we have: 121 is what percent of 74 = 163.51

Question: 121 is what percent of 74?

Percentage solution with steps:

Step 1: We make the assumption that 74 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\%}={74}.

Step 4: In the same vein, {x\%}={121}.

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

{100\%}={74}(1).

{x\%}={121}(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{74}{121}

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

\frac{x\%}{100\%}=\frac{121}{74}

\Rightarrow{x} = {163.51\%}

Therefore, {121} is {163.51\%} of {74}.

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