#### Solution for 87 is what percent of 292:

87:292*100 =

(87*100):292 =

8700:292 = 29.79

Now we have: 87 is what percent of 292 = 29.79

Question: 87 is what percent of 292?

Percentage solution with steps:

Step 1: We make the assumption that 292 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\%}={292}.

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

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

{100\%}={292}(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{292}{87}

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

\frac{x\%}{100\%}=\frac{87}{292}

\Rightarrow{x} = {29.79\%}

Therefore, {87} is {29.79\%} of {292}.

#### Solution for 292 is what percent of 87:

292:87*100 =

(292*100):87 =

29200:87 = 335.63

Now we have: 292 is what percent of 87 = 335.63

Question: 292 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\%}={292}.

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

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

{x\%}={292}(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}{292}

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

\frac{x\%}{100\%}=\frac{292}{87}

\Rightarrow{x} = {335.63\%}

Therefore, {292} is {335.63\%} of {87}.

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