0.58 is what percent of 13.18 - 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 13.18 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 13.18, so we can write it down as 100%=13.18.
4. We know, that x% equals 0.58 of the output value, so we can write it down as x%=0.58.
5. Now we have two simple equations:
1) 100%=13.18
2) x%=0.58
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%=13.18/0.58
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 0.58 is what percent of 13.18

100%/x%=13.18/0.58
(100/x)*x=(13.18/0.58)*x       - we multiply both sides of the equation by x
100=22.724137931034*x       - we divide both sides of the equation by (22.724137931034) to get x
100/22.724137931034=x
4.4006069802731=x
x=4.4006069802731

now we have:
0.58 is 4.4006069802731% of 13.18