What Percent Of 65 Is 40

Solution for 65 is what percent of 40:

65:40*100 =

(65*100):40 =

You are viewing: What Percent Of 65 Is 40

6500:40 = 162.5

Now we have: 65 is what percent of 40 = 162.5

Question: 65 is what percent of 40?

Percentage solution with steps:

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Step 1: We make the assumption that 40 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%}={40}.

Step 4: In the same vein, {x%}={65}.

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

{100%}={40}(1).

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{x%}={65}(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{40}{65}

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

frac{x%}{100%}=frac{65}{40}

Rightarrow{x} = {162.5%}

Therefore, {65} is {162.5%} of {40}.

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