105.5 is what percent of 152 - 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 152 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 152, so we can write it down as 100%=152.
4. We know, that x% equals 105.5 of the output value, so we can write it down as x%=105.5.
5. Now we have two simple equations:
1) 100%=152
2) x%=105.5
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%=152/105.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 105.5 is what percent of 152

100%/x%=152/105.5
(100/x)*x=(152/105.5)*x       - we multiply both sides of the equation by x
100=1.4407582938389*x       - we divide both sides of the equation by (1.4407582938389) to get x
100/1.4407582938389=x
69.407894736842=x
x=69.407894736842

now we have:
105.5 is 69.407894736842% of 152