#### Solution for 1225 is what percent of 1400:

1225:1400*100 =

(1225*100):1400 =

122500:1400 = 87.5

Now we have: 1225 is what percent of 1400 = 87.5

Question: 1225 is what percent of 1400?

Percentage solution with steps:

Step 1: We make the assumption that 1400 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\%}={1400}.

Step 4: In the same vein, {x\%}={1225}.

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

{100\%}={1400}(1).

{x\%}={1225}(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{1400}{1225}

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

\frac{x\%}{100\%}=\frac{1225}{1400}

\Rightarrow{x} = {87.5\%}

Therefore, {1225} is {87.5\%} of {1400}.

#### Solution for 1400 is what percent of 1225:

1400:1225*100 =

(1400*100):1225 =

140000:1225 = 114.29

Now we have: 1400 is what percent of 1225 = 114.29

Question: 1400 is what percent of 1225?

Percentage solution with steps:

Step 1: We make the assumption that 1225 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\%}={1225}.

Step 4: In the same vein, {x\%}={1400}.

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

{100\%}={1225}(1).

{x\%}={1400}(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{1225}{1400}

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

\frac{x\%}{100\%}=\frac{1400}{1225}

\Rightarrow{x} = {114.29\%}

Therefore, {1400} is {114.29\%} of {1225}.

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