What is 10.01 percent of 92.02 - step by step solution

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 92.02 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 92.02 is 100%, so we can write it down as 92.02=100%.
4. We know, that x is 10.01% of the output value, so we can write it down as x=10.01%.
5. Now we have two simple equations:
1) 92.02=100%
2) x=10.01%
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
92.02/x=100%/10.01%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 10.01% of 92.02

92.02/x=100/10.01
(92.02/x)*x=(100/10.01)*x       - we multiply both sides of the equation by x
92.02=9.99000999001*x       - we divide both sides of the equation by (9.99000999001) to get x
92.02/9.99000999001=x
9.211202=x
x=9.211202

now we have:
10.01% of 92.02=9.211202