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Solution for 77 is what percent of 120:

77:120*100 =

(77*100):120 =

7700:120 = 64.17

Now we have: 77 is what percent of 120 = 64.17

Question: 77 is what percent of 120?

Percentage solution with steps:

Step 1: We make the assumption that 120 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\%}={120}.

Step 4: In the same vein, {x\%}={77}.

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

{100\%}={120}(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{120}{77}

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

\frac{x\%}{100\%}=\frac{77}{120}

\Rightarrow{x} = {64.17\%}

Therefore, {77} is {64.17\%} of {120}.

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Solution for 120 is what percent of 77:

120:77*100 =

(120*100):77 =

12000:77 = 155.84

Now we have: 120 is what percent of 77 = 155.84

Question: 120 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\%}={120}.

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

{100\%}={77}(1).

{x\%}={120}(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}{120}

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

\frac{x\%}{100\%}=\frac{120}{77}

\Rightarrow{x} = {155.84\%}

Therefore, {120} is {155.84\%} of {77}.