106.86 is what percent of 155 - 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 155 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 100% equals 155, so we can write it down as 100%=155.
4. We know, that x% equals 106.86 of the output value, so we can write it down as x%=106.86.
5. Now we have two simple equations:
1) 100%=155
2) x%=106.86
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:
100%/x%=155/106.86
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 106.86 is what percent of 155

100%/x%=155/106.86
(100/x)*x=(155/106.86)*x       - we multiply both sides of the equation by x
100=1.4504959760434*x       - we divide both sides of the equation by (1.4504959760434) to get x
100/1.4504959760434=x
68.941935483871=x
x=68.941935483871

now we have:
106.86 is 68.941935483871% of 155