#### Solution for 84 is what percent of 218:

84:218*100 =

(84*100):218 =

8400:218 = 38.53

Now we have: 84 is what percent of 218 = 38.53

Question: 84 is what percent of 218?

Percentage solution with steps:

Step 1: We make the assumption that 218 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\%}={218}.

Step 4: In the same vein, {x\%}={84}.

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

{100\%}={218}(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{218}{84}

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

\frac{x\%}{100\%}=\frac{84}{218}

\Rightarrow{x} = {38.53\%}

Therefore, {84} is {38.53\%} of {218}.

#### Solution for 218 is what percent of 84:

218:84*100 =

(218*100):84 =

21800:84 = 259.52

Now we have: 218 is what percent of 84 = 259.52

Question: 218 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\%}={218}.

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

{100\%}={84}(1).

{x\%}={218}(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}{218}

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

\frac{x\%}{100\%}=\frac{218}{84}

\Rightarrow{x} = {259.52\%}

Therefore, {218} is {259.52\%} of {84}.

Calculation Samples