#### Solution for 150 is what percent of 302:

150:302*100 =

(150*100):302 =

15000:302 = 49.67

Now we have: 150 is what percent of 302 = 49.67

Question: 150 is what percent of 302?

Percentage solution with steps:

Step 1: We make the assumption that 302 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\%}={302}.

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

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

{100\%}={302}(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{302}{150}

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

\frac{x\%}{100\%}=\frac{150}{302}

\Rightarrow{x} = {49.67\%}

Therefore, {150} is {49.67\%} of {302}.

#### Solution for 302 is what percent of 150:

302:150*100 =

(302*100):150 =

30200:150 = 201.33

Now we have: 302 is what percent of 150 = 201.33

Question: 302 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\%}={302}.

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

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

{x\%}={302}(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}{302}

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

\frac{x\%}{100\%}=\frac{302}{150}

\Rightarrow{x} = {201.33\%}

Therefore, {302} is {201.33\%} of {150}.

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