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What Is 40 Of 1600

Solution for 40 is what percent of 1600:

40:1600*100 =

(40*100):1600 =

4000:1600 = 2.5

Now we have: 40 is what percent of 1600 = 2.5

Question: 40 is what percent of 1600?

Percentage solution with steps:

Step 1: We make the assumption that 1600 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%}={1600}.

Step 4: In the same vein, {x%}={40}.

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

{100%}={1600}(1).

{x%}={40}(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{1600}{40}

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

frac{x%}{100%}=frac{40}{1600}

Rightarrow{x} = {2.5%}

Therefore, {40} is {2.5%} of {1600}.

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