106.8 is what percent of 69.675 - 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 69.675 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 69.675, so we can write it down as 100%=69.675.
4. We know, that x% equals 106.8 of the output value, so we can write it down as x%=106.8.
5. Now we have two simple equations:
1) 100%=69.675
2) x%=106.8
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%=69.675/106.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 106.8 is what percent of 69.675

100%/x%=69.675/106.8
(100/x)*x=(69.675/106.8)*x       - we multiply both sides of the equation by x
100=0.65238764044944*x       - we divide both sides of the equation by (0.65238764044944) to get x
100/0.65238764044944=x
153.28310010764=x
x=153.28310010764

now we have:
106.8 is 153.28310010764% of 69.675