#### Solution for 112 is what percent of 2400:

112:2400*100 =

(112*100):2400 =

11200:2400 = 4.67

Now we have: 112 is what percent of 2400 = 4.67

Question: 112 is what percent of 2400?

Percentage solution with steps:

Step 1: We make the assumption that 2400 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\%}={2400}.

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

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

{100\%}={2400}(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{2400}{112}

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

\frac{x\%}{100\%}=\frac{112}{2400}

\Rightarrow{x} = {4.67\%}

Therefore, {112} is {4.67\%} of {2400}.

#### Solution for 2400 is what percent of 112:

2400:112*100 =

(2400*100):112 =

240000:112 = 2142.86

Now we have: 2400 is what percent of 112 = 2142.86

Question: 2400 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\%}={2400}.

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

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

{x\%}={2400}(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}{2400}

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

\frac{x\%}{100\%}=\frac{2400}{112}

\Rightarrow{x} = {2142.86\%}

Therefore, {2400} is {2142.86\%} of {112}.

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