#### Solution for 971 is what percent of 2500:

971:2500*100 =

(971*100):2500 =

97100:2500 = 38.84

Now we have: 971 is what percent of 2500 = 38.84

Question: 971 is what percent of 2500?

Percentage solution with steps:

Step 1: We make the assumption that 2500 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\%}={2500}.

Step 4: In the same vein, {x\%}={971}.

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

{100\%}={2500}(1).

{x\%}={971}(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{2500}{971}

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

\frac{x\%}{100\%}=\frac{971}{2500}

\Rightarrow{x} = {38.84\%}

Therefore, {971} is {38.84\%} of {2500}.

#### Solution for 2500 is what percent of 971:

2500:971*100 =

(2500*100):971 =

250000:971 = 257.47

Now we have: 2500 is what percent of 971 = 257.47

Question: 2500 is what percent of 971?

Percentage solution with steps:

Step 1: We make the assumption that 971 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\%}={971}.

Step 4: In the same vein, {x\%}={2500}.

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

{100\%}={971}(1).

{x\%}={2500}(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{971}{2500}

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

\frac{x\%}{100\%}=\frac{2500}{971}

\Rightarrow{x} = {257.47\%}

Therefore, {2500} is {257.47\%} of {971}.

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