2.59 is what percent of 42.896 - 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 42.896 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 42.896, so we can write it down as 100%=42.896.
4. We know, that x% equals 2.59 of the output value, so we can write it down as x%=2.59.
5. Now we have two simple equations:
1) 100%=42.896
2) x%=2.59
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%=42.896/2.59
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 2.59 is what percent of 42.896

100%/x%=42.896/2.59
(100/x)*x=(42.896/2.59)*x       - we multiply both sides of the equation by x
100=16.562162162162*x       - we divide both sides of the equation by (16.562162162162) to get x
100/16.562162162162=x
6.0378590078329=x
x=6.0378590078329

now we have:
2.59 is 6.0378590078329% of 42.896