What is 10.1 percent of 101 - 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 101 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 101 is 100%, so we can write it down as 101=100%.
4. We know, that x is 10.1% of the output value, so we can write it down as x=10.1%.
5. Now we have two simple equations:
1) 101=100%
2) x=10.1%
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:
101/x=100%/10.1%
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 10.1% of 101

101/x=100/10.1
(101/x)*x=(100/10.1)*x       - we multiply both sides of the equation by x
101=9.9009900990099*x       - we divide both sides of the equation by (9.9009900990099) to get x
101/9.9009900990099=x
10.201=x
x=10.201

now we have:
10.1% of 101=10.201