#### Solution for 1.50 is what percent of 45:

1.50:45*100 =

(1.50*100):45 =

150:45 = 3.3333333333333

Now we have: 1.50 is what percent of 45 = 3.3333333333333

Question: 1.50 is what percent of 45?

Percentage solution with steps:

Step 1: We make the assumption that 45 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\%}={45}.

Step 4: In the same vein, {x\%}={1.50}.

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

{100\%}={45}(1).

{x\%}={1.50}(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{45}{1.50}

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

\frac{x\%}{100\%}=\frac{1.50}{45}

\Rightarrow{x} = {3.3333333333333\%}

Therefore, {1.50} is {3.3333333333333\%} of {45}.

#### Solution for 45 is what percent of 1.50:

45:1.50*100 =

(45*100):1.50 =

4500:1.50 = 3000

Now we have: 45 is what percent of 1.50 = 3000

Question: 45 is what percent of 1.50?

Percentage solution with steps:

Step 1: We make the assumption that 1.50 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\%}={1.50}.

Step 4: In the same vein, {x\%}={45}.

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

{100\%}={1.50}(1).

{x\%}={45}(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{1.50}{45}

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

\frac{x\%}{100\%}=\frac{45}{1.50}

\Rightarrow{x} = {3000\%}

Therefore, {45} is {3000\%} of {1.50}.

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