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Solution for 87 is what percent of 40:

87:40*100 =

(87*100):40 =

8700:40 = 217.5

Now we have: 87 is what percent of 40 = 217.5

Question: 87 is what percent of 40?

Percentage solution with steps:

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\%}={87}.

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

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

{x\%}={87}(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}{87}

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

\frac{x\%}{100\%}=\frac{87}{40}

\Rightarrow{x} = {217.5\%}

Therefore, {87} is {217.5\%} of {40}.

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Solution for 40 is what percent of 87:

40:87*100 =

(40*100):87 =

4000:87 = 45.98

Now we have: 40 is what percent of 87 = 45.98

Question: 40 is what percent of 87?

Percentage solution with steps:

Step 1: We make the assumption that 87 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\%}={87}.

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

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

{100\%}={87}(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{87}{40}

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

\frac{x\%}{100\%}=\frac{40}{87}

\Rightarrow{x} = {45.98\%}

Therefore, {40} is {45.98\%} of {87}.