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Solution for 108 is what percent of 61:

108:61*100 =

(108*100):61 =

10800:61 = 177.05

Now we have: 108 is what percent of 61 = 177.05

Question: 108 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\%}={108}.

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

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

{x\%}={108}(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}{108}

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

\frac{x\%}{100\%}=\frac{108}{61}

\Rightarrow{x} = {177.05\%}

Therefore, {108} is {177.05\%} of {61}.

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Solution for 61 is what percent of 108:

61:108*100 =

(61*100):108 =

6100:108 = 56.48

Now we have: 61 is what percent of 108 = 56.48

Question: 61 is what percent of 108?

Percentage solution with steps:

Step 1: We make the assumption that 108 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\%}={108}.

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

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

{100\%}={108}(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{108}{61}

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

\frac{x\%}{100\%}=\frac{61}{108}

\Rightarrow{x} = {56.48\%}

Therefore, {61} is {56.48\%} of {108}.