#### Solution for 4 is what percent of 150:

4:150*100 =

(4*100):150 =

400:150 = 2.67

Now we have: 4 is what percent of 150 = 2.67

Question: 4 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\%}={4}.

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

{100\%}={150}(1).

{x\%}={4}(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}{4}

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

\frac{x\%}{100\%}=\frac{4}{150}

\Rightarrow{x} = {2.67\%}

Therefore, {4} is {2.67\%} of {150}.

#### Solution for 150 is what percent of 4:

150:4*100 =

(150*100):4 =

15000:4 = 3750

Now we have: 150 is what percent of 4 = 3750

Question: 150 is what percent of 4?

Percentage solution with steps:

Step 1: We make the assumption that 4 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\%}={4}.

Step 4: In the same vein, {x\%}={150}.

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

{100\%}={4}(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{4}{150}

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

\frac{x\%}{100\%}=\frac{150}{4}

\Rightarrow{x} = {3750\%}

Therefore, {150} is {3750\%} of {4}.

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