109.9 is what percent of 187.8 - 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 187.8 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 187.8, so we can write it down as 100%=187.8.
4. We know, that x% equals 109.9 of the output value, so we can write it down as x%=109.9.
5. Now we have two simple equations:
1) 100%=187.8
2) x%=109.9
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%=187.8/109.9
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 109.9 is what percent of 187.8

100%/x%=187.8/109.9
(100/x)*x=(187.8/109.9)*x       - we multiply both sides of the equation by x
100=1.7088262056415*x       - we divide both sides of the equation by (1.7088262056415) to get x
100/1.7088262056415=x
58.519701810437=x
x=58.519701810437

now we have:
109.9 is 58.519701810437% of 187.8