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Solution for 40.00 is what percent of 87:

40.00:87*100 =

(40.00*100):87 =

4000:87 = 45.977011494253

Now we have: 40.00 is what percent of 87 = 45.977011494253

Question: 40.00 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\%}={40.00}.

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

{100\%}={87}(1).

{x\%}={40.00}(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}{40.00}

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

\frac{x\%}{100\%}=\frac{40.00}{87}

\Rightarrow{x} = {45.977011494253\%}

Therefore, {40.00} is {45.977011494253\%} of {87}.

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• 40.00 is what percent of 100 = 40

Solution for 87 is what percent of 40.00:

87:40.00*100 =

(87*100):40.00 =

8700:40.00 = 217.5

Now we have: 87 is what percent of 40.00 = 217.5

Question: 87 is what percent of 40.00?

Percentage solution with steps:

Step 1: We make the assumption that 40.00 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\%}={40.00}.

Step 4: In the same vein, {x\%}={87}.

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

{100\%}={40.00}(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{40.00}{87}

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

\frac{x\%}{100\%}=\frac{87}{40.00}

\Rightarrow{x} = {217.5\%}

Therefore, {87} is {217.5\%} of {40.00}.