110.4 is what percent of 190 - 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 190 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 190, so we can write it down as 100%=190.
4. We know, that x% equals 110.4 of the output value, so we can write it down as x%=110.4.
5. Now we have two simple equations:
1) 100%=190
2) x%=110.4
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%=190/110.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 110.4 is what percent of 190

100%/x%=190/110.4
(100/x)*x=(190/110.4)*x       - we multiply both sides of the equation by x
100=1.7210144927536*x       - we divide both sides of the equation by (1.7210144927536) to get x
100/1.7210144927536=x
58.105263157895=x
x=58.105263157895

now we have:
110.4 is 58.105263157895% of 190