#### Solution for 77 is what percent of 121:

77:121*100 =

(77*100):121 =

7700:121 = 63.64

Now we have: 77 is what percent of 121 = 63.64

Question: 77 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\%}={77}.

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

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

{x\%}={77}(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}{77}

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

\frac{x\%}{100\%}=\frac{77}{121}

\Rightarrow{x} = {63.64\%}

Therefore, {77} is {63.64\%} of {121}.

#### Solution for 121 is what percent of 77:

121:77*100 =

(121*100):77 =

12100:77 = 157.14

Now we have: 121 is what percent of 77 = 157.14

Question: 121 is what percent of 77?

Percentage solution with steps:

Step 1: We make the assumption that 77 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\%}={77}.

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

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

{100\%}={77}(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{77}{121}

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

\frac{x\%}{100\%}=\frac{121}{77}

\Rightarrow{x} = {157.14\%}

Therefore, {121} is {157.14\%} of {77}.

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