#### Solution for 150 is what percent of 2000:

150: 2000*100 =

(150*100): 2000 =

15000: 2000 = 7.5

Now we have: 150 is what percent of 2000 = 7.5

Question: 150 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\%}={150}.

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

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

{x\%}={150}(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}{150}

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

\frac{x\%}{100\%}=\frac{150}{ 2000}

\Rightarrow{x} = {7.5\%}

Therefore, {150} is {7.5\%} of { 2000}.

#### Solution for 2000 is what percent of 150:

2000:150*100 =

( 2000*100):150 =

200000:150 = 1333.33

Now we have: 2000 is what percent of 150 = 1333.33

Question: 2000 is what percent of 150?

Percentage solution with steps:

Step 1: We make the assumption that 150 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\%}={150}.

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

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

{100\%}={150}(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{150}{ 2000}

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

\frac{x\%}{100\%}=\frac{ 2000}{150}

\Rightarrow{x} = {1333.33\%}

Therefore, { 2000} is {1333.33\%} of {150}.

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