1.617 is what percent of 4 - 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 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, so we can write it down as 100%=4.
4. We know, that x% equals 1.617 of the output value, so we can write it down as x%=1.617.
5. Now we have two simple equations:
1) 100%=4
2) x%=1.617
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%=4/1.617
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1.617 is what percent of 4

100%/x%=4/1.617
(100/x)*x=(4/1.617)*x       - we multiply both sides of the equation by x
100=2.473716759431*x       - we divide both sides of the equation by (2.473716759431) to get x
100/2.473716759431=x
40.425=x
x=40.425

now we have:
1.617 is 40.425% of 4