2.5 is what percent of 4.6 - 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 4.6 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 4.6, so we can write it down as 100%=4.6.
4. We know, that x% equals 2.5 of the output value, so we can write it down as x%=2.5.
5. Now we have two simple equations:
1) 100%=4.6
2) x%=2.5
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%=4.6/2.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 2.5 is what percent of 4.6

100%/x%=4.6/2.5
(100/x)*x=(4.6/2.5)*x       - we multiply both sides of the equation by x
100=1.84*x       - we divide both sides of the equation by (1.84) to get x
100/1.84=x
54.347826086957=x
x=54.347826086957

now we have:
2.5 is 54.347826086957% of 4.6