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Solution for 105.5 is what percent of 59:

105.5:59*100 =

(105.5*100):59 =

10550:59 = 178.81355932203

Now we have: 105.5 is what percent of 59 = 178.81355932203

Question: 105.5 is what percent of 59?

Percentage solution with steps:

Step 1: We make the assumption that 59 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\%}={59}.

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

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

{100\%}={59}(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{59}{105.5}

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

\frac{x\%}{100\%}=\frac{105.5}{59}

\Rightarrow{x} = {178.81355932203\%}

Therefore, {105.5} is {178.81355932203\%} of {59}.

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Solution for 59 is what percent of 105.5:

59:105.5*100 =

(59*100):105.5 =

5900:105.5 = 55.924170616114

Now we have: 59 is what percent of 105.5 = 55.924170616114

Question: 59 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\%}={59}.

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

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

{x\%}={59}(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}{59}

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

\frac{x\%}{100\%}=\frac{59}{105.5}

\Rightarrow{x} = {55.924170616114\%}

Therefore, {59} is {55.924170616114\%} of {105.5}.