121.73 is what percent of 10027.5 - 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 10027.5 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 10027.5, so we can write it down as 100%=10027.5.
4. We know, that x% equals 121.73 of the output value, so we can write it down as x%=121.73.
5. Now we have two simple equations:
1) 100%=10027.5
2) x%=121.73
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%=10027.5/121.73
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 121.73 is what percent of 10027.5

100%/x%=10027.5/121.73
(100/x)*x=(10027.5/121.73)*x       - we multiply both sides of the equation by x
100=82.3749281196*x       - we divide both sides of the equation by (82.3749281196) to get x
100/82.3749281196=x
1.21396160558=x
x=1.21396160558

now we have:
121.73 is 1.21396160558% of 10027.5