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Solution for 61 is what percent of 20:

61:20*100 =

(61*100):20 =

6100:20 = 305

Now we have: 61 is what percent of 20 = 305

Question: 61 is what percent of 20?

Percentage solution with steps:

Step 1: We make the assumption that 20 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\%}={20}.

Step 4: In the same vein, {x\%}={61}.

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

{100\%}={20}(1).

{x\%}={61}(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{20}{61}

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

\frac{x\%}{100\%}=\frac{61}{20}

\Rightarrow{x} = {305\%}

Therefore, {61} is {305\%} of {20}.

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Solution for 20 is what percent of 61:

20:61*100 =

(20*100):61 =

2000:61 = 32.79

Now we have: 20 is what percent of 61 = 32.79

Question: 20 is what percent of 61?

Percentage solution with steps:

Step 1: We make the assumption that 61 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\%}={61}.

Step 4: In the same vein, {x\%}={20}.

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

{100\%}={61}(1).

{x\%}={20}(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{61}{20}

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

\frac{x\%}{100\%}=\frac{20}{61}

\Rightarrow{x} = {32.79\%}

Therefore, {20} is {32.79\%} of {61}.