#### Solution for 150 is what percent of 635:

150:635*100 =

(150*100):635 =

15000:635 = 23.62

Now we have: 150 is what percent of 635 = 23.62

Question: 150 is what percent of 635?

Percentage solution with steps:

Step 1: We make the assumption that 635 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\%}={635}.

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

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

{100\%}={635}(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{635}{150}

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

\frac{x\%}{100\%}=\frac{150}{635}

\Rightarrow{x} = {23.62\%}

Therefore, {150} is {23.62\%} of {635}.

#### Solution for 635 is what percent of 150:

635:150*100 =

(635*100):150 =

63500:150 = 423.33

Now we have: 635 is what percent of 150 = 423.33

Question: 635 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\%}={635}.

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

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

{x\%}={635}(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}{635}

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

\frac{x\%}{100\%}=\frac{635}{150}

\Rightarrow{x} = {423.33\%}

Therefore, {635} is {423.33\%} of {150}.

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