Solution for 45 is what percent of 150:

45: 150*100 =

(45*100): 150 =

4500: 150 = 30

Now we have: 45 is what percent of 150 = 30

Question: 45 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\%}={45}.

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

{100\%}={ 150}(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{ 150}{45}

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

\frac{x\%}{100\%}=\frac{45}{ 150}

\Rightarrow{x} = {30\%}

Therefore, {45} is {30\%} of { 150}.

Solution for 150 is what percent of 45:

150:45*100 =

( 150*100):45 =

15000:45 = 333.33

Now we have: 150 is what percent of 45 = 333.33

Question: 150 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\%}={ 150}.

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

{100\%}={45}(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{45}{ 150}

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

\frac{x\%}{100\%}=\frac{ 150}{45}

\Rightarrow{x} = {333.33\%}

Therefore, { 150} is {333.33\%} of {45}.