3119.98 is what percent of 52120.23 - 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 52120.23 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 52120.23, so we can write it down as 100%=52120.23.
4. We know, that x% equals 3119.98 of the output value, so we can write it down as x%=3119.98.
5. Now we have two simple equations:
1) 100%=52120.23
2) x%=3119.98
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%=52120.23/3119.98
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 3119.98 is what percent of 52120.23

100%/x%=52120.23/3119.98
(100/x)*x=(52120.23/3119.98)*x       - we multiply both sides of the equation by x
100=16.705309008391*x       - we divide both sides of the equation by (16.705309008391) to get x
100/16.705309008391=x
5.9861209361509=x
x=5.9861209361509

now we have:
3119.98 is 5.9861209361509% of 52120.23