What Percent Of 300 Is 75

Solution for 75 is what percent of 300.:

75:300.*100 =

(75*100):300. =

7500:300. = 25

Now we have: 75 is what percent of 300. = 25

Question: 75 is what percent of 300.?

Percentage solution with steps:

Step 1: We make the assumption that 300. 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%}={300.}.

Step 4: In the same vein, {x%}={75}.

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

{100%}={300.}(1).

{x%}={75}(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{300.}{75}

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

frac{x%}{100%}=frac{75}{300.}

Rightarrow{x} = {25%}

Therefore, {75} is {25%} of {300.}.

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