#### Solution for 1378 is what percent of 2000:

1378:2000*100 =

(1378*100):2000 =

137800:2000 = 68.9

Now we have: 1378 is what percent of 2000 = 68.9

Question: 1378 is what percent of 2000?

Percentage solution with steps:

Step 1: We make the assumption that 2000 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\%}={2000}.

Step 4: In the same vein, {x\%}={1378}.

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

{100\%}={2000}(1).

{x\%}={1378}(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{2000}{1378}

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

\frac{x\%}{100\%}=\frac{1378}{2000}

\Rightarrow{x} = {68.9\%}

Therefore, {1378} is {68.9\%} of {2000}.

#### Solution for 2000 is what percent of 1378:

2000:1378*100 =

(2000*100):1378 =

200000:1378 = 145.14

Now we have: 2000 is what percent of 1378 = 145.14

Question: 2000 is what percent of 1378?

Percentage solution with steps:

Step 1: We make the assumption that 1378 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\%}={1378}.

Step 4: In the same vein, {x\%}={2000}.

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

{100\%}={1378}(1).

{x\%}={2000}(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{1378}{2000}

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

\frac{x\%}{100\%}=\frac{2000}{1378}

\Rightarrow{x} = {145.14\%}

Therefore, {2000} is {145.14\%} of {1378}.

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