#### Solution for 1000 is what percent of 450:

1000:450*100 =

(1000*100):450 =

100000:450 = 222.22

Now we have: 1000 is what percent of 450 = 222.22

Question: 1000 is what percent of 450?

Percentage solution with steps:

Step 1: We make the assumption that 450 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\%}={450}.

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

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

{100\%}={450}(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{450}{1000}

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

\frac{x\%}{100\%}=\frac{1000}{450}

\Rightarrow{x} = {222.22\%}

Therefore, {1000} is {222.22\%} of {450}.

#### Solution for 450 is what percent of 1000:

450:1000*100 =

(450*100):1000 =

45000:1000 = 45

Now we have: 450 is what percent of 1000 = 45

Question: 450 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\%}={450}.

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

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

{x\%}={450}(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}{450}

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

\frac{x\%}{100\%}=\frac{450}{1000}

\Rightarrow{x} = {45\%}

Therefore, {450} is {45\%} of {1000}.

Calculation Samples