What is 106.9 percent of 140 - 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 140 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 140 is 100%, so we can write it down as 140=100%.
4. We know, that x is 106.9% of the output value, so we can write it down as x=106.9%.
5. Now we have two simple equations:
1) 140=100%
2) x=106.9%
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:
140/x=100%/106.9%
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 106.9% of 140

140/x=100/106.9
(140/x)*x=(100/106.9)*x       - we multiply both sides of the equation by x
140=0.9354536950421*x       - we divide both sides of the equation by (0.9354536950421) to get x
140/0.9354536950421=x
149.66=x
x=149.66

now we have:
106.9% of 140=149.66