What is 8.45 percent of 10.1 - 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 10.1 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 10.1 is 100%, so we can write it down as 10.1=100%.
4. We know, that x is 8.45% of the output value, so we can write it down as x=8.45%.
5. Now we have two simple equations:
1) 10.1=100%
2) x=8.45%
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:
10.1/x=100%/8.45%
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 8.45% of 10.1

10.1/x=100/8.45
(10.1/x)*x=(100/8.45)*x       - we multiply both sides of the equation by x
10.1=11.834319526627*x       - we divide both sides of the equation by (11.834319526627) to get x
10.1/11.834319526627=x
0.85345=x
x=0.85345

now we have:
8.45% of 10.1=0.85345