#### Solution for 650 is what percent of 1000:

650: 1000*100 =

(650*100): 1000 =

65000: 1000 = 65

Now we have: 650 is what percent of 1000 = 65

Question: 650 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\%}={650}.

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

{100\%}={ 1000}(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{ 1000}{650}

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

\frac{x\%}{100\%}=\frac{650}{ 1000}

\Rightarrow{x} = {65\%}

Therefore, {650} is {65\%} of { 1000}.

#### Solution for 1000 is what percent of 650:

1000:650*100 =

( 1000*100):650 =

100000:650 = 153.85

Now we have: 1000 is what percent of 650 = 153.85

Question: 1000 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\%}={ 1000}.

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

{100\%}={650}(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{650}{ 1000}

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

\frac{x\%}{100\%}=\frac{ 1000}{650}

\Rightarrow{x} = {153.85\%}

Therefore, { 1000} is {153.85\%} of {650}.

Calculation Samples