#### Solution for .10 is what percent of 522:

.10:522*100 =

(.10*100):522 =

10:522 = 0.02

Now we have: .10 is what percent of 522 = 0.02

Question: .10 is what percent of 522?

Percentage solution with steps:

Step 1: We make the assumption that 522 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\%}={522}.

Step 4: In the same vein, {x\%}={.10}.

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

{100\%}={522}(1).

{x\%}={.10}(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{522}{.10}

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

\frac{x\%}{100\%}=\frac{.10}{522}

\Rightarrow{x} = {0.02\%}

Therefore, {.10} is {0.02\%} of {522}.

#### Solution for 522 is what percent of .10:

522:.10*100 =

(522*100):.10 =

52200:.10 = 522000

Now we have: 522 is what percent of .10 = 522000

Question: 522 is what percent of .10?

Percentage solution with steps:

Step 1: We make the assumption that .10 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\%}={.10}.

Step 4: In the same vein, {x\%}={522}.

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

{100\%}={.10}(1).

{x\%}={522}(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{.10}{522}

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

\frac{x\%}{100\%}=\frac{522}{.10}

\Rightarrow{x} = {522000\%}

Therefore, {522} is {522000\%} of {.10}.

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