25.82 is what percent of 45.17 - 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 45.17 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 45.17, so we can write it down as 100%=45.17.
4. We know, that x% equals 25.82 of the output value, so we can write it down as x%=25.82.
5. Now we have two simple equations:
1) 100%=45.17
2) x%=25.82
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%=45.17/25.82
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 25.82 is what percent of 45.17

100%/x%=45.17/25.82
(100/x)*x=(45.17/25.82)*x       - we multiply both sides of the equation by x
100=1.7494190549961*x       - we divide both sides of the equation by (1.7494190549961) to get x
100/1.7494190549961=x
57.16183307505=x
x=57.16183307505

now we have:
25.82 is 57.16183307505% of 45.17