What is 113 percent of 106 - 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 106 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 106 is 100%, so we can write it down as 106=100%.
4. We know, that x is 113% of the output value, so we can write it down as x=113%.
5. Now we have two simple equations:
1) 106=100%
2) x=113%
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:
106/x=100%/113%
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 113% of 106

106/x=100/113
(106/x)*x=(100/113)*x       - we multiply both sides of the equation by x
106=0.88495575221239*x       - we divide both sides of the equation by (0.88495575221239) to get x
106/0.88495575221239=x
119.78=x
x=119.78

now we have:
113% of 106=119.78