#### Solution for 34 is what percent of 2045:

34:2045*100 =

(34*100):2045 =

3400:2045 = 1.66

Now we have: 34 is what percent of 2045 = 1.66

Question: 34 is what percent of 2045?

Percentage solution with steps:

Step 1: We make the assumption that 2045 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\%}={2045}.

Step 4: In the same vein, {x\%}={34}.

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

{100\%}={2045}(1).

{x\%}={34}(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{2045}{34}

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

\frac{x\%}{100\%}=\frac{34}{2045}

\Rightarrow{x} = {1.66\%}

Therefore, {34} is {1.66\%} of {2045}.

#### Solution for 2045 is what percent of 34:

2045:34*100 =

(2045*100):34 =

204500:34 = 6014.71

Now we have: 2045 is what percent of 34 = 6014.71

Question: 2045 is what percent of 34?

Percentage solution with steps:

Step 1: We make the assumption that 34 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\%}={34}.

Step 4: In the same vein, {x\%}={2045}.

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

{100\%}={34}(1).

{x\%}={2045}(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{34}{2045}

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

\frac{x\%}{100\%}=\frac{2045}{34}

\Rightarrow{x} = {6014.71\%}

Therefore, {2045} is {6014.71\%} of {34}.

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