1.13 is what percent of 586 - 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 586 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 586, so we can write it down as 100%=586.
4. We know, that x% equals 1.13 of the output value, so we can write it down as x%=1.13.
5. Now we have two simple equations:
1) 100%=586
2) x%=1.13
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%=586/1.13
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1.13 is what percent of 586

100%/x%=586/1.13
(100/x)*x=(586/1.13)*x       - we multiply both sides of the equation by x
100=518.58407079646*x       - we divide both sides of the equation by (518.58407079646) to get x
100/518.58407079646=x
0.19283276450512=x
x=0.19283276450512

now we have:
1.13 is 0.19283276450512% of 586