25.84 is what percent of 719.19 - 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 719.19 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 719.19, so we can write it down as 100%=719.19.
4. We know, that x% equals 25.84 of the output value, so we can write it down as x%=25.84.
5. Now we have two simple equations:
1) 100%=719.19
2) x%=25.84
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%=719.19/25.84
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 25.84 is what percent of 719.19

100%/x%=719.19/25.84
(100/x)*x=(719.19/25.84)*x       - we multiply both sides of the equation by x
100=27.832430340557*x       - we divide both sides of the equation by (27.832430340557) to get x
100/27.832430340557=x
3.5929309361921=x
x=3.5929309361921

now we have:
25.84 is 3.5929309361921% of 719.19