1.59 is what percent of 34.42 - 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 34.42 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 34.42, so we can write it down as 100%=34.42.
4. We know, that x% equals 1.59 of the output value, so we can write it down as x%=1.59.
5. Now we have two simple equations:
1) 100%=34.42
2) x%=1.59
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%=34.42/1.59
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1.59 is what percent of 34.42

100%/x%=34.42/1.59
(100/x)*x=(34.42/1.59)*x       - we multiply both sides of the equation by x
100=21.647798742138*x       - we divide both sides of the equation by (21.647798742138) to get x
100/21.647798742138=x
4.6194073213248=x
x=4.6194073213248

now we have:
1.59 is 4.6194073213248% of 34.42