0.59 is what percent of 1.59 - 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 1.59 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 1.59, so we can write it down as 100%=1.59.
4. We know, that x% equals 0.59 of the output value, so we can write it down as x%=0.59.
5. Now we have two simple equations:
1) 100%=1.59
2) x%=0.59
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%=1.59/0.59
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 0.59 is what percent of 1.59

100%/x%=1.59/0.59
(100/x)*x=(1.59/0.59)*x       - we multiply both sides of the equation by x
100=2.6949152542373*x       - we divide both sides of the equation by (2.6949152542373) to get x
100/2.6949152542373=x
37.106918238994=x
x=37.106918238994

now we have:
0.59 is 37.106918238994% of 1.59