#### Solution for 405 is what percent of 7000:

405:7000*100 =

(405*100):7000 =

40500:7000 = 5.79

Now we have: 405 is what percent of 7000 = 5.79

Question: 405 is what percent of 7000?

Percentage solution with steps:

Step 1: We make the assumption that 7000 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\%}={7000}.

Step 4: In the same vein, {x\%}={405}.

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

{100\%}={7000}(1).

{x\%}={405}(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{7000}{405}

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

\frac{x\%}{100\%}=\frac{405}{7000}

\Rightarrow{x} = {5.79\%}

Therefore, {405} is {5.79\%} of {7000}.

#### Solution for 7000 is what percent of 405:

7000:405*100 =

(7000*100):405 =

700000:405 = 1728.4

Now we have: 7000 is what percent of 405 = 1728.4

Question: 7000 is what percent of 405?

Percentage solution with steps:

Step 1: We make the assumption that 405 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\%}={405}.

Step 4: In the same vein, {x\%}={7000}.

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

{100\%}={405}(1).

{x\%}={7000}(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{405}{7000}

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

\frac{x\%}{100\%}=\frac{7000}{405}

\Rightarrow{x} = {1728.4\%}

Therefore, {7000} is {1728.4\%} of {405}.

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