#### Solution for 3750 is what percent of 2500:

3750:2500*100 =

(3750*100):2500 =

375000:2500 = 150

Now we have: 3750 is what percent of 2500 = 150

Question: 3750 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\%}={3750}.

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

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

{x\%}={3750}(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}{3750}

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

\frac{x\%}{100\%}=\frac{3750}{2500}

\Rightarrow{x} = {150\%}

Therefore, {3750} is {150\%} of {2500}.

#### Solution for 2500 is what percent of 3750:

2500:3750*100 =

(2500*100):3750 =

250000:3750 = 66.67

Now we have: 2500 is what percent of 3750 = 66.67

Question: 2500 is what percent of 3750?

Percentage solution with steps:

Step 1: We make the assumption that 3750 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\%}={3750}.

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

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

{100\%}={3750}(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{3750}{2500}

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

\frac{x\%}{100\%}=\frac{2500}{3750}

\Rightarrow{x} = {66.67\%}

Therefore, {2500} is {66.67\%} of {3750}.

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