#### Solution for 1670 is what percent of 270:

1670:270*100 =

(1670*100):270 =

167000:270 = 618.52

Now we have: 1670 is what percent of 270 = 618.52

Question: 1670 is what percent of 270?

Percentage solution with steps:

Step 1: We make the assumption that 270 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\%}={270}.

Step 4: In the same vein, {x\%}={1670}.

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

{100\%}={270}(1).

{x\%}={1670}(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{270}{1670}

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

\frac{x\%}{100\%}=\frac{1670}{270}

\Rightarrow{x} = {618.52\%}

Therefore, {1670} is {618.52\%} of {270}.

#### Solution for 270 is what percent of 1670:

270:1670*100 =

(270*100):1670 =

27000:1670 = 16.17

Now we have: 270 is what percent of 1670 = 16.17

Question: 270 is what percent of 1670?

Percentage solution with steps:

Step 1: We make the assumption that 1670 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\%}={1670}.

Step 4: In the same vein, {x\%}={270}.

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

{100\%}={1670}(1).

{x\%}={270}(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{1670}{270}

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

\frac{x\%}{100\%}=\frac{270}{1670}

\Rightarrow{x} = {16.17\%}

Therefore, {270} is {16.17\%} of {1670}.

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