#### Solution for 150 is what percent of 37.5:

150:37.5*100 =

(150*100):37.5 =

15000:37.5 = 400

Now we have: 150 is what percent of 37.5 = 400

Question: 150 is what percent of 37.5?

Percentage solution with steps:

Step 1: We make the assumption that 37.5 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\%}={37.5}.

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

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

{100\%}={37.5}(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{37.5}{150}

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

\frac{x\%}{100\%}=\frac{150}{37.5}

\Rightarrow{x} = {400\%}

Therefore, {150} is {400\%} of {37.5}.

#### Solution for 37.5 is what percent of 150:

37.5:150*100 =

(37.5*100):150 =

3750:150 = 25

Now we have: 37.5 is what percent of 150 = 25

Question: 37.5 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\%}={37.5}.

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

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

{x\%}={37.5}(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}{37.5}

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

\frac{x\%}{100\%}=\frac{37.5}{150}

\Rightarrow{x} = {25\%}

Therefore, {37.5} is {25\%} of {150}.

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