#### Solution for 920 is what percent of 1000:

920:1000*100 =

(920*100):1000 =

92000:1000 = 92

Now we have: 920 is what percent of 1000 = 92

Question: 920 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\%}={920}.

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

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

{x\%}={920}(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}{920}

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

\frac{x\%}{100\%}=\frac{920}{1000}

\Rightarrow{x} = {92\%}

Therefore, {920} is {92\%} of {1000}.

#### Solution for 1000 is what percent of 920:

1000:920*100 =

(1000*100):920 =

100000:920 = 108.7

Now we have: 1000 is what percent of 920 = 108.7

Question: 1000 is what percent of 920?

Percentage solution with steps:

Step 1: We make the assumption that 920 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\%}={920}.

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

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

{100\%}={920}(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{920}{1000}

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

\frac{x\%}{100\%}=\frac{1000}{920}

\Rightarrow{x} = {108.7\%}

Therefore, {1000} is {108.7\%} of {920}.

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