#### Solution for 2000 is what percent of 5760:

2000:5760*100 =

(2000*100):5760 =

200000:5760 = 34.72

Now we have: 2000 is what percent of 5760 = 34.72

Question: 2000 is what percent of 5760?

Percentage solution with steps:

Step 1: We make the assumption that 5760 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\%}={5760}.

Step 4: In the same vein, {x\%}={2000}.

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

{100\%}={5760}(1).

{x\%}={2000}(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{5760}{2000}

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

\frac{x\%}{100\%}=\frac{2000}{5760}

\Rightarrow{x} = {34.72\%}

Therefore, {2000} is {34.72\%} of {5760}.

#### Solution for 5760 is what percent of 2000:

5760:2000*100 =

(5760*100):2000 =

576000:2000 = 288

Now we have: 5760 is what percent of 2000 = 288

Question: 5760 is what percent of 2000?

Percentage solution with steps:

Step 1: We make the assumption that 2000 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\%}={2000}.

Step 4: In the same vein, {x\%}={5760}.

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

{100\%}={2000}(1).

{x\%}={5760}(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{2000}{5760}

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

\frac{x\%}{100\%}=\frac{5760}{2000}

\Rightarrow{x} = {288\%}

Therefore, {5760} is {288\%} of {2000}.

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