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35 is what percent of 150? Enter your answer in decimal form to the nearest hundreth.

User Dncrane
by
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1 Answer

4 votes

Answer:

23.33%

Explanation:

Solution for 35 is what percent of 150:

35: 150*100 =

(35*100): 150 =

3500: 150 = 23.33

Now we have: 35 is what percent of 150 = 23.33

Question: 35 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%=35.

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

100%=150(1).

x%=35(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}{35}

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

\frac{x\%}{100\%}=\frac{35}{150}

Therefore, 35 is 23.33% of 150.

User Greg Zuber
by
4.5k points