42.15 is what percent of 25.16 - 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 25.16 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 25.16, so we can write it down as 100%=25.16.
4. We know, that x% equals 42.15 of the output value, so we can write it down as x%=42.15.
5. Now we have two simple equations:
1) 100%=25.16
2) x%=42.15
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%=25.16/42.15
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 42.15 is what percent of 25.16

100%/x%=25.16/42.15
(100/x)*x=(25.16/42.15)*x       - we multiply both sides of the equation by x
100=0.59691577698695*x       - we divide both sides of the equation by (0.59691577698695) to get x
100/0.59691577698695=x
167.52782193959=x
x=167.52782193959

now we have:
42.15 is 167.52782193959% of 25.16