106.98 is what percent of 206.98 - 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 206.98 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 206.98, so we can write it down as 100%=206.98.
4. We know, that x% equals 106.98 of the output value, so we can write it down as x%=106.98.
5. Now we have two simple equations:
1) 100%=206.98
2) x%=106.98
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%=206.98/106.98
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 106.98 is what percent of 206.98

100%/x%=206.98/106.98
(100/x)*x=(206.98/106.98)*x       - we multiply both sides of the equation by x
100=1.934754159656*x       - we divide both sides of the equation by (1.934754159656) to get x
100/1.934754159656=x
51.686153251522=x
x=51.686153251522

now we have:
106.98 is 51.686153251522% of 206.98