#### Solution for 2542 is what percent of 2902:

2542:2902*100 =

(2542*100):2902 =

254200:2902 = 87.59

Now we have: 2542 is what percent of 2902 = 87.59

Question: 2542 is what percent of 2902?

Percentage solution with steps:

Step 1: We make the assumption that 2902 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\%}={2902}.

Step 4: In the same vein, {x\%}={2542}.

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

{100\%}={2902}(1).

{x\%}={2542}(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{2902}{2542}

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

\frac{x\%}{100\%}=\frac{2542}{2902}

\Rightarrow{x} = {87.59\%}

Therefore, {2542} is {87.59\%} of {2902}.

#### Solution for 2902 is what percent of 2542:

2902:2542*100 =

(2902*100):2542 =

290200:2542 = 114.16

Now we have: 2902 is what percent of 2542 = 114.16

Question: 2902 is what percent of 2542?

Percentage solution with steps:

Step 1: We make the assumption that 2542 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\%}={2542}.

Step 4: In the same vein, {x\%}={2902}.

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

{100\%}={2542}(1).

{x\%}={2902}(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{2542}{2902}

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

\frac{x\%}{100\%}=\frac{2902}{2542}

\Rightarrow{x} = {114.16\%}

Therefore, {2902} is {114.16\%} of {2542}.

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