#### Solution for 1642 is what percent of 2500:

1642:2500*100 =

(1642*100):2500 =

164200:2500 = 65.68

Now we have: 1642 is what percent of 2500 = 65.68

Question: 1642 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\%}={1642}.

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

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

{x\%}={1642}(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}{1642}

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

\frac{x\%}{100\%}=\frac{1642}{2500}

\Rightarrow{x} = {65.68\%}

Therefore, {1642} is {65.68\%} of {2500}.

#### Solution for 2500 is what percent of 1642:

2500:1642*100 =

(2500*100):1642 =

250000:1642 = 152.25

Now we have: 2500 is what percent of 1642 = 152.25

Question: 2500 is what percent of 1642?

Percentage solution with steps:

Step 1: We make the assumption that 1642 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\%}={1642}.

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

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

{100\%}={1642}(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{1642}{2500}

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

\frac{x\%}{100\%}=\frac{2500}{1642}

\Rightarrow{x} = {152.25\%}

Therefore, {2500} is {152.25\%} of {1642}.

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