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Solution for 59 is what percent of 112:

59:112*100 =

(59*100):112 =

5900:112 = 52.68

Now we have: 59 is what percent of 112 = 52.68

Question: 59 is what percent of 112?

Percentage solution with steps:

Step 1: We make the assumption that 112 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\%}={112}.

Step 4: In the same vein, {x\%}={59}.

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

{100\%}={112}(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{112}{59}

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

\frac{x\%}{100\%}=\frac{59}{112}

\Rightarrow{x} = {52.68\%}

Therefore, {59} is {52.68\%} of {112}.

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Solution for 112 is what percent of 59:

112:59*100 =

(112*100):59 =

11200:59 = 189.83

Now we have: 112 is what percent of 59 = 189.83

Question: 112 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\%}={112}.

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

{100\%}={59}(1).

{x\%}={112}(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}{112}

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

\frac{x\%}{100\%}=\frac{112}{59}

\Rightarrow{x} = {189.83\%}

Therefore, {112} is {189.83\%} of {59}.