#### Solution for 1200 is what percent of 2275:

1200:2275*100 =

(1200*100):2275 =

120000:2275 = 52.75

Now we have: 1200 is what percent of 2275 = 52.75

Question: 1200 is what percent of 2275?

Percentage solution with steps:

Step 1: We make the assumption that 2275 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\%}={2275}.

Step 4: In the same vein, {x\%}={1200}.

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

{100\%}={2275}(1).

{x\%}={1200}(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{2275}{1200}

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

\frac{x\%}{100\%}=\frac{1200}{2275}

\Rightarrow{x} = {52.75\%}

Therefore, {1200} is {52.75\%} of {2275}.

#### Solution for 2275 is what percent of 1200:

2275:1200*100 =

(2275*100):1200 =

227500:1200 = 189.58

Now we have: 2275 is what percent of 1200 = 189.58

Question: 2275 is what percent of 1200?

Percentage solution with steps:

Step 1: We make the assumption that 1200 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\%}={1200}.

Step 4: In the same vein, {x\%}={2275}.

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

{100\%}={1200}(1).

{x\%}={2275}(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{1200}{2275}

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

\frac{x\%}{100\%}=\frac{2275}{1200}

\Rightarrow{x} = {189.58\%}

Therefore, {2275} is {189.58\%} of {1200}.

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