#### Solution for 101.0 is what percent of 202:

101.0:202*100 =

(101.0*100):202 =

10100:202 = 50

Now we have: 101.0 is what percent of 202 = 50

Question: 101.0 is what percent of 202?

Percentage solution with steps:

Step 1: We make the assumption that 202 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\%}={202}.

Step 4: In the same vein, {x\%}={101.0}.

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

{100\%}={202}(1).

{x\%}={101.0}(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{202}{101.0}

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

\frac{x\%}{100\%}=\frac{101.0}{202}

\Rightarrow{x} = {50\%}

Therefore, {101.0} is {50\%} of {202}.

#### Solution for 202 is what percent of 101.0:

202:101.0*100 =

(202*100):101.0 =

20200:101.0 = 200

Now we have: 202 is what percent of 101.0 = 200

Question: 202 is what percent of 101.0?

Percentage solution with steps:

Step 1: We make the assumption that 101.0 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\%}={101.0}.

Step 4: In the same vein, {x\%}={202}.

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

{100\%}={101.0}(1).

{x\%}={202}(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{101.0}{202}

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

\frac{x\%}{100\%}=\frac{202}{101.0}

\Rightarrow{x} = {200\%}

Therefore, {202} is {200\%} of {101.0}.

Calculation Samples