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Solution for 105.5 is what percent of 64:

105.5:64*100 =

(105.5*100):64 =

10550:64 = 164.84375

Now we have: 105.5 is what percent of 64 = 164.84375

Question: 105.5 is what percent of 64?

Percentage solution with steps:

Step 1: We make the assumption that 64 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\%}={64}.

Step 4: In the same vein, {x\%}={105.5}.

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

{100\%}={64}(1).

{x\%}={105.5}(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{64}{105.5}

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

\frac{x\%}{100\%}=\frac{105.5}{64}

\Rightarrow{x} = {164.84375\%}

Therefore, {105.5} is {164.84375\%} of {64}.

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• 105.5 is what percent of 100 = 105.5

Solution for 64 is what percent of 105.5:

64:105.5*100 =

(64*100):105.5 =

6400:105.5 = 60.663507109005

Now we have: 64 is what percent of 105.5 = 60.663507109005

Question: 64 is what percent of 105.5?

Percentage solution with steps:

Step 1: We make the assumption that 105.5 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\%}={105.5}.

Step 4: In the same vein, {x\%}={64}.

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

{100\%}={105.5}(1).

{x\%}={64}(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{105.5}{64}

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

\frac{x\%}{100\%}=\frac{64}{105.5}

\Rightarrow{x} = {60.663507109005\%}

Therefore, {64} is {60.663507109005\%} of {105.5}.