#### Solution for 900 is what percent of 1000:

900: 1000*100 =

(900*100): 1000 =

90000: 1000 = 90

Now we have: 900 is what percent of 1000 = 90

Question: 900 is what percent of 1000?

Percentage solution with steps:

Step 1: We make the assumption that 1000 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\%}={ 1000}.

Step 4: In the same vein, {x\%}={900}.

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

{100\%}={ 1000}(1).

{x\%}={900}(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{ 1000}{900}

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

\frac{x\%}{100\%}=\frac{900}{ 1000}

\Rightarrow{x} = {90\%}

Therefore, {900} is {90\%} of { 1000}.

#### Solution for 1000 is what percent of 900:

1000:900*100 =

( 1000*100):900 =

100000:900 = 111.11

Now we have: 1000 is what percent of 900 = 111.11

Question: 1000 is what percent of 900?

Percentage solution with steps:

Step 1: We make the assumption that 900 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\%}={900}.

Step 4: In the same vein, {x\%}={ 1000}.

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

{100\%}={900}(1).

{x\%}={ 1000}(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{900}{ 1000}

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

\frac{x\%}{100\%}=\frac{ 1000}{900}

\Rightarrow{x} = {111.11\%}

Therefore, { 1000} is {111.11\%} of {900}.

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