#### Solution for 800 is what percent of 750:

800:750*100 =

(800*100):750 =

80000:750 = 106.67

Now we have: 800 is what percent of 750 = 106.67

Question: 800 is what percent of 750?

Percentage solution with steps:

Step 1: We make the assumption that 750 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\%}={750}.

Step 4: In the same vein, {x\%}={800}.

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

{100\%}={750}(1).

{x\%}={800}(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{750}{800}

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

\frac{x\%}{100\%}=\frac{800}{750}

\Rightarrow{x} = {106.67\%}

Therefore, {800} is {106.67\%} of {750}.

#### Solution for 750 is what percent of 800:

750:800*100 =

(750*100):800 =

75000:800 = 93.75

Now we have: 750 is what percent of 800 = 93.75

Question: 750 is what percent of 800?

Percentage solution with steps:

Step 1: We make the assumption that 800 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\%}={800}.

Step 4: In the same vein, {x\%}={750}.

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

{100\%}={800}(1).

{x\%}={750}(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{800}{750}

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

\frac{x\%}{100\%}=\frac{750}{800}

\Rightarrow{x} = {93.75\%}

Therefore, {750} is {93.75\%} of {800}.

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