588.19 is what percent of 13374.7 - 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 13374.7 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 13374.7, so we can write it down as 100%=13374.7.
4. We know, that x% equals 588.19 of the output value, so we can write it down as x%=588.19.
5. Now we have two simple equations:
1) 100%=13374.7
2) x%=588.19
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%=13374.7/588.19
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 588.19 is what percent of 13374.7

100%/x%=13374.7/588.19
(100/x)*x=(13374.7/588.19)*x       - we multiply both sides of the equation by x
100=22.738740883048*x       - we divide both sides of the equation by (22.738740883048) to get x
100/22.738740883048=x
4.3977808848049=x
x=4.3977808848049

now we have:
588.19 is 4.3977808848049% of 13374.7