22.74 is what percent of 25.834 - 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 25.834 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 25.834, so we can write it down as 100%=25.834.
4. We know, that x% equals 22.74 of the output value, so we can write it down as x%=22.74.
5. Now we have two simple equations:
1) 100%=25.834
2) x%=22.74
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%=25.834/22.74
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 22.74 is what percent of 25.834

100%/x%=25.834/22.74
(100/x)*x=(25.834/22.74)*x       - we multiply both sides of the equation by x
100=1.1360598065084*x       - we divide both sides of the equation by (1.1360598065084) to get x
100/1.1360598065084=x
88.023534876519=x
x=88.023534876519

now we have:
22.74 is 88.023534876519% of 25.834