125.08 is what percent of 1515.84 - 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 1515.84 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 1515.84, so we can write it down as 100%=1515.84.
4. We know, that x% equals 125.08 of the output value, so we can write it down as x%=125.08.
5. Now we have two simple equations:
1) 100%=1515.84
2) x%=125.08
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%=1515.84/125.08
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 125.08 is what percent of 1515.84

100%/x%=1515.84/125.08
(100/x)*x=(1515.84/125.08)*x       - we multiply both sides of the equation by x
100=12.118963863128*x       - we divide both sides of the equation by (12.118963863128) to get x
100/12.118963863128=x
8.2515305045387=x
x=8.2515305045387

now we have:
125.08 is 8.2515305045387% of 1515.84