#### Solution for 1100 is what percent of 2150:

1100:2150*100 =

(1100*100):2150 =

110000:2150 = 51.16

Now we have: 1100 is what percent of 2150 = 51.16

Question: 1100 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\%}={1100}.

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

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

{x\%}={1100}(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}{1100}

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

\frac{x\%}{100\%}=\frac{1100}{2150}

\Rightarrow{x} = {51.16\%}

Therefore, {1100} is {51.16\%} of {2150}.

#### Solution for 2150 is what percent of 1100:

2150:1100*100 =

(2150*100):1100 =

215000:1100 = 195.45

Now we have: 2150 is what percent of 1100 = 195.45

Question: 2150 is what percent of 1100?

Percentage solution with steps:

Step 1: We make the assumption that 1100 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\%}={1100}.

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

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

{100\%}={1100}(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{1100}{2150}

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

\frac{x\%}{100\%}=\frac{2150}{1100}

\Rightarrow{x} = {195.45\%}

Therefore, {2150} is {195.45\%} of {1100}.

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