121.7 is what percent of 103.9 - 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 103.9 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 103.9, so we can write it down as 100%=103.9.
4. We know, that x% equals 121.7 of the output value, so we can write it down as x%=121.7.
5. Now we have two simple equations:
1) 100%=103.9
2) x%=121.7
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%=103.9/121.7
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 121.7 is what percent of 103.9

100%/x%=103.9/121.7
(100/x)*x=(103.9/121.7)*x       - we multiply both sides of the equation by x
100=0.85373870172555*x       - we divide both sides of the equation by (0.85373870172555) to get x
100/0.85373870172555=x
117.13185755534=x
x=117.13185755534

now we have:
121.7 is 117.13185755534% of 103.9