#### Solution for 1600 is what percent of 1800:

1600:1800*100 =

(1600*100):1800 =

160000:1800 = 88.89

Now we have: 1600 is what percent of 1800 = 88.89

Question: 1600 is what percent of 1800?

Percentage solution with steps:

Step 1: We make the assumption that 1800 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\%}={1800}.

Step 4: In the same vein, {x\%}={1600}.

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

{100\%}={1800}(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{1800}{1600}

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

\frac{x\%}{100\%}=\frac{1600}{1800}

\Rightarrow{x} = {88.89\%}

Therefore, {1600} is {88.89\%} of {1800}.

#### Solution for 1800 is what percent of 1600:

1800:1600*100 =

(1800*100):1600 =

180000:1600 = 112.5

Now we have: 1800 is what percent of 1600 = 112.5

Question: 1800 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\%}={1800}.

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

{100\%}={1600}(1).

{x\%}={1800}(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}{1800}

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

\frac{x\%}{100\%}=\frac{1800}{1600}

\Rightarrow{x} = {112.5\%}

Therefore, {1800} is {112.5\%} of {1600}.

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