#### Solution for 2001 is what percent of 2850:

2001:2850*100 =

(2001*100):2850 =

200100:2850 = 70.21

Now we have: 2001 is what percent of 2850 = 70.21

Question: 2001 is what percent of 2850?

Percentage solution with steps:

Step 1: We make the assumption that 2850 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\%}={2850}.

Step 4: In the same vein, {x\%}={2001}.

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

{100\%}={2850}(1).

{x\%}={2001}(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{2850}{2001}

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

\frac{x\%}{100\%}=\frac{2001}{2850}

\Rightarrow{x} = {70.21\%}

Therefore, {2001} is {70.21\%} of {2850}.

#### Solution for 2850 is what percent of 2001:

2850:2001*100 =

(2850*100):2001 =

285000:2001 = 142.43

Now we have: 2850 is what percent of 2001 = 142.43

Question: 2850 is what percent of 2001?

Percentage solution with steps:

Step 1: We make the assumption that 2001 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\%}={2001}.

Step 4: In the same vein, {x\%}={2850}.

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

{100\%}={2001}(1).

{x\%}={2850}(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{2001}{2850}

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

\frac{x\%}{100\%}=\frac{2850}{2001}

\Rightarrow{x} = {142.43\%}

Therefore, {2850} is {142.43\%} of {2001}.

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