#### Solution for 645 is what percent of 1000:

645:1000*100 =

(645*100):1000 =

64500:1000 = 64.5

Now we have: 645 is what percent of 1000 = 64.5

Question: 645 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\%}={645}.

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

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

{x\%}={645}(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}{645}

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

\frac{x\%}{100\%}=\frac{645}{1000}

\Rightarrow{x} = {64.5\%}

Therefore, {645} is {64.5\%} of {1000}.

#### Solution for 1000 is what percent of 645:

1000:645*100 =

(1000*100):645 =

100000:645 = 155.04

Now we have: 1000 is what percent of 645 = 155.04

Question: 1000 is what percent of 645?

Percentage solution with steps:

Step 1: We make the assumption that 645 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\%}={645}.

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

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

{100\%}={645}(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{645}{1000}

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

\frac{x\%}{100\%}=\frac{1000}{645}

\Rightarrow{x} = {155.04\%}

Therefore, {1000} is {155.04\%} of {645}.

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