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Solution for 36 is what percent of 77:

36:77*100 =

(36*100):77 =

3600:77 = 46.75

Now we have: 36 is what percent of 77 = 46.75

Question: 36 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\%}={36}.

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

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

{x\%}={36}(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}{36}

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

\frac{x\%}{100\%}=\frac{36}{77}

\Rightarrow{x} = {46.75\%}

Therefore, {36} is {46.75\%} of {77}.

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Solution for 77 is what percent of 36:

77:36*100 =

(77*100):36 =

7700:36 = 213.89

Now we have: 77 is what percent of 36 = 213.89

Question: 77 is what percent of 36?

Percentage solution with steps:

Step 1: We make the assumption that 36 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\%}={36}.

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

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

{100\%}={36}(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{36}{77}

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

\frac{x\%}{100\%}=\frac{77}{36}

\Rightarrow{x} = {213.89\%}

Therefore, {77} is {213.89\%} of {36}.