#### Solution for 650 is what percent of 4000:

650:4000*100 =

(650*100):4000 =

65000:4000 = 16.25

Now we have: 650 is what percent of 4000 = 16.25

Question: 650 is what percent of 4000?

Percentage solution with steps:

Step 1: We make the assumption that 4000 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\%}={4000}.

Step 4: In the same vein, {x\%}={650}.

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

{100\%}={4000}(1).

{x\%}={650}(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{4000}{650}

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

\frac{x\%}{100\%}=\frac{650}{4000}

\Rightarrow{x} = {16.25\%}

Therefore, {650} is {16.25\%} of {4000}.

#### Solution for 4000 is what percent of 650:

4000:650*100 =

(4000*100):650 =

400000:650 = 615.38

Now we have: 4000 is what percent of 650 = 615.38

Question: 4000 is what percent of 650?

Percentage solution with steps:

Step 1: We make the assumption that 650 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\%}={650}.

Step 4: In the same vein, {x\%}={4000}.

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

{100\%}={650}(1).

{x\%}={4000}(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{650}{4000}

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

\frac{x\%}{100\%}=\frac{4000}{650}

\Rightarrow{x} = {615.38\%}

Therefore, {4000} is {615.38\%} of {650}.

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