10.74 is what percent of 25.6 - 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 25.6 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 25.6, so we can write it down as 100%=25.6.
4. We know, that x% equals 10.74 of the output value, so we can write it down as x%=10.74.
5. Now we have two simple equations:
1) 100%=25.6
2) x%=10.74
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%=25.6/10.74
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 10.74 is what percent of 25.6

100%/x%=25.6/10.74
(100/x)*x=(25.6/10.74)*x       - we multiply both sides of the equation by x
100=2.3836126629423*x       - we divide both sides of the equation by (2.3836126629423) to get x
100/2.3836126629423=x
41.953125=x
x=41.953125

now we have:
10.74 is 41.953125% of 25.6