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Solution for 36 is what percent of 101:

36:101*100 =

(36*100):101 =

3600:101 = 35.64

Now we have: 36 is what percent of 101 = 35.64

Question: 36 is what percent of 101?

Percentage solution with steps:

Step 1: We make the assumption that 101 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\%}={101}.

Step 4: In the same vein, {x\%}={36}.

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

{100\%}={101}(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{101}{36}

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

\frac{x\%}{100\%}=\frac{36}{101}

\Rightarrow{x} = {35.64\%}

Therefore, {36} is {35.64\%} of {101}.

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Solution for 101 is what percent of 36:

101:36*100 =

(101*100):36 =

10100:36 = 280.56

Now we have: 101 is what percent of 36 = 280.56

Question: 101 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\%}={101}.

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

{100\%}={36}(1).

{x\%}={101}(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}{101}

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

\frac{x\%}{100\%}=\frac{101}{36}

\Rightarrow{x} = {280.56\%}

Therefore, {101} is {280.56\%} of {36}.