750.05 is what percent of 25742 - 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 25742 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 25742, so we can write it down as 100%=25742.
4. We know, that x% equals 750.05 of the output value, so we can write it down as x%=750.05.
5. Now we have two simple equations:
1) 100%=25742
2) x%=750.05
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%=25742/750.05
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 750.05 is what percent of 25742

100%/x%=25742/750.05
(100/x)*x=(25742/750.05)*x       - we multiply both sides of the equation by x
100=34.320378641424*x       - we divide both sides of the equation by (34.320378641424) to get x
100/34.320378641424=x
2.9137207676171=x
x=2.9137207676171

now we have:
750.05 is 2.9137207676171% of 25742