Solution for 35 is what percent of 40:
35:40*100 =
(35*100):40 =
You are viewing: What Percent Is 35 Out Of 40
3500:40 = 87.5
Now we have: 35 is what percent of 40 = 87.5
Question: 35 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%}={35}.
Step 5: This gives us a pair of simple equations:
{100%}={40}(1).
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{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{40}{35}
Step 7: Taking the inverse (or reciprocal) of both sides yields
frac{x%}{100%}=frac{35}{40}
Rightarrow{x} = {87.5%}
Therefore, {35} is {87.5%} of {40}.
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