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Solution for 61 is what percent of 55:

61:55*100 =

(61*100):55 =

6100:55 = 110.91

Now we have: 61 is what percent of 55 = 110.91

Question: 61 is what percent of 55?

Percentage solution with steps:

Step 1: We make the assumption that 55 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\%}={55}.

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

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

{100\%}={55}(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{55}{61}

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

\frac{x\%}{100\%}=\frac{61}{55}

\Rightarrow{x} = {110.91\%}

Therefore, {61} is {110.91\%} of {55}.

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Solution for 55 is what percent of 61:

55:61*100 =

(55*100):61 =

5500:61 = 90.16

Now we have: 55 is what percent of 61 = 90.16

Question: 55 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\%}={55}.

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

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

{x\%}={55}(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}{55}

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

\frac{x\%}{100\%}=\frac{55}{61}

\Rightarrow{x} = {90.16\%}

Therefore, {55} is {90.16\%} of {61}.