#### Solution for 1075 is what percent of 2150:

1075:2150*100 =

(1075*100):2150 =

107500:2150 = 50

Now we have: 1075 is what percent of 2150 = 50

Question: 1075 is what percent of 2150?

Percentage solution with steps:

Step 1: We make the assumption that 2150 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\%}={2150}.

Step 4: In the same vein, {x\%}={1075}.

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

{100\%}={2150}(1).

{x\%}={1075}(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{2150}{1075}

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

\frac{x\%}{100\%}=\frac{1075}{2150}

\Rightarrow{x} = {50\%}

Therefore, {1075} is {50\%} of {2150}.

#### Solution for 2150 is what percent of 1075:

2150:1075*100 =

(2150*100):1075 =

215000:1075 = 200

Now we have: 2150 is what percent of 1075 = 200

Question: 2150 is what percent of 1075?

Percentage solution with steps:

Step 1: We make the assumption that 1075 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\%}={1075}.

Step 4: In the same vein, {x\%}={2150}.

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

{100\%}={1075}(1).

{x\%}={2150}(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{1075}{2150}

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

\frac{x\%}{100\%}=\frac{2150}{1075}

\Rightarrow{x} = {200\%}

Therefore, {2150} is {200\%} of {1075}.

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