#### Solution for 800 is what percent of 2070:

800:2070*100 =

(800*100):2070 =

80000:2070 = 38.65

Now we have: 800 is what percent of 2070 = 38.65

Question: 800 is what percent of 2070?

Percentage solution with steps:

Step 1: We make the assumption that 2070 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\%}={2070}.

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

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

{100\%}={2070}(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{2070}{800}

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

\frac{x\%}{100\%}=\frac{800}{2070}

\Rightarrow{x} = {38.65\%}

Therefore, {800} is {38.65\%} of {2070}.

#### Solution for 2070 is what percent of 800:

2070:800*100 =

(2070*100):800 =

207000:800 = 258.75

Now we have: 2070 is what percent of 800 = 258.75

Question: 2070 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\%}={2070}.

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

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

{x\%}={2070}(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}{2070}

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

\frac{x\%}{100\%}=\frac{2070}{800}

\Rightarrow{x} = {258.75\%}

Therefore, {2070} is {258.75\%} of {800}.

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