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Solution for 112 is what percent of 35:

112:35*100 =

(112*100):35 =

11200:35 = 320

Now we have: 112 is what percent of 35 = 320

Question: 112 is what percent of 35?

Percentage solution with steps:

Step 1: We make the assumption that 35 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\%}={35}.

Step 4: In the same vein, {x\%}={112}.

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

{100\%}={35}(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{35}{112}

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

\frac{x\%}{100\%}=\frac{112}{35}

\Rightarrow{x} = {320\%}

Therefore, {112} is {320\%} of {35}.

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Solution for 35 is what percent of 112:

35:112*100 =

(35*100):112 =

3500:112 = 31.25

Now we have: 35 is what percent of 112 = 31.25

Question: 35 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\%}={35}.

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

{100\%}={112}(1).

{x\%}={35}(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}{35}

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

\frac{x\%}{100\%}=\frac{35}{112}

\Rightarrow{x} = {31.25\%}

Therefore, {35} is {31.25\%} of {112}.