112.99 is what percent of 204.46 - 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 204.46 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 204.46, so we can write it down as 100%=204.46.
4. We know, that x% equals 112.99 of the output value, so we can write it down as x%=112.99.
5. Now we have two simple equations:
1) 100%=204.46
2) x%=112.99
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%=204.46/112.99
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 112.99 is what percent of 204.46

100%/x%=204.46/112.99
(100/x)*x=(204.46/112.99)*x       - we multiply both sides of the equation by x
100=1.8095406673157*x       - we divide both sides of the equation by (1.8095406673157) to get x
100/1.8095406673157=x
55.262643059767=x
x=55.262643059767

now we have:
112.99 is 55.262643059767% of 204.46