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Solution for 105 is what percent of 87:

105:87*100 =

(105*100):87 =

10500:87 = 120.69

Now we have: 105 is what percent of 87 = 120.69

Question: 105 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\%}={105}.

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

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

{x\%}={105}(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}{105}

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

\frac{x\%}{100\%}=\frac{105}{87}

\Rightarrow{x} = {120.69\%}

Therefore, {105} is {120.69\%} of {87}.

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Solution for 87 is what percent of 105:

87:105*100 =

(87*100):105 =

8700:105 = 82.86

Now we have: 87 is what percent of 105 = 82.86

Question: 87 is what percent of 105?

Percentage solution with steps:

Step 1: We make the assumption that 105 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\%}={105}.

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

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

{100\%}={105}(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{105}{87}

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

\frac{x\%}{100\%}=\frac{87}{105}

\Rightarrow{x} = {82.86\%}

Therefore, {87} is {82.86\%} of {105}.