105.78 is what percent of 119 - 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 119 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 119, so we can write it down as 100%=119.
4. We know, that x% equals 105.78 of the output value, so we can write it down as x%=105.78.
5. Now we have two simple equations:
1) 100%=119
2) x%=105.78
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%=119/105.78
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 105.78 is what percent of 119

100%/x%=119/105.78
(100/x)*x=(119/105.78)*x       - we multiply both sides of the equation by x
100=1.1249763660427*x       - we divide both sides of the equation by (1.1249763660427) to get x
100/1.1249763660427=x
88.890756302521=x
x=88.890756302521

now we have:
105.78 is 88.890756302521% of 119