#### Solution for 112 is what percent of 1600:

112:1600*100 =

(112*100):1600 =

11200:1600 = 7

Now we have: 112 is what percent of 1600 = 7

Question: 112 is what percent of 1600?

Percentage solution with steps:

Step 1: We make the assumption that 1600 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\%}={1600}.

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

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

{100\%}={1600}(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{1600}{112}

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

\frac{x\%}{100\%}=\frac{112}{1600}

\Rightarrow{x} = {7\%}

Therefore, {112} is {7\%} of {1600}.

#### Solution for 1600 is what percent of 112:

1600:112*100 =

(1600*100):112 =

160000:112 = 1428.57

Now we have: 1600 is what percent of 112 = 1428.57

Question: 1600 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\%}={1600}.

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

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

{x\%}={1600}(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}{1600}

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

\frac{x\%}{100\%}=\frac{1600}{112}

\Rightarrow{x} = {1428.57\%}

Therefore, {1600} is {1428.57\%} of {112}.

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