#### Solution for 84 is what percent of 270:

84:270*100 =

(84*100):270 =

8400:270 = 31.11

Now we have: 84 is what percent of 270 = 31.11

Question: 84 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\%}={84}.

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

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

{x\%}={84}(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}{84}

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

\frac{x\%}{100\%}=\frac{84}{270}

\Rightarrow{x} = {31.11\%}

Therefore, {84} is {31.11\%} of {270}.

#### Solution for 270 is what percent of 84:

270:84*100 =

(270*100):84 =

27000:84 = 321.43

Now we have: 270 is what percent of 84 = 321.43

Question: 270 is what percent of 84?

Percentage solution with steps:

Step 1: We make the assumption that 84 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\%}={84}.

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

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

{100\%}={84}(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{84}{270}

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

\frac{x\%}{100\%}=\frac{270}{84}

\Rightarrow{x} = {321.43\%}

Therefore, {270} is {321.43\%} of {84}.

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