#### Solution for 6000 is what percent of 1.500:

6000:1.500*100 =

(6000*100):1.500 =

600000:1.500 = 400000

Now we have: 6000 is what percent of 1.500 = 400000

Question: 6000 is what percent of 1.500?

Percentage solution with steps:

Step 1: We make the assumption that 1.500 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\%}={1.500}.

Step 4: In the same vein, {x\%}={6000}.

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

{100\%}={1.500}(1).

{x\%}={6000}(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{1.500}{6000}

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

\frac{x\%}{100\%}=\frac{6000}{1.500}

\Rightarrow{x} = {400000\%}

Therefore, {6000} is {400000\%} of {1.500}.

#### Solution for 1.500 is what percent of 6000:

1.500:6000*100 =

(1.500*100):6000 =

150:6000 = 0.025

Now we have: 1.500 is what percent of 6000 = 0.025

Question: 1.500 is what percent of 6000?

Percentage solution with steps:

Step 1: We make the assumption that 6000 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\%}={6000}.

Step 4: In the same vein, {x\%}={1.500}.

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

{100\%}={6000}(1).

{x\%}={1.500}(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{6000}{1.500}

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

\frac{x\%}{100\%}=\frac{1.500}{6000}

\Rightarrow{x} = {0.025\%}

Therefore, {1.500} is {0.025\%} of {6000}.

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