15.79 is what percent of 853.71 - 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 853.71 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 853.71, so we can write it down as 100%=853.71.
4. We know, that x% equals 15.79 of the output value, so we can write it down as x%=15.79.
5. Now we have two simple equations:
1) 100%=853.71
2) x%=15.79
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%=853.71/15.79
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 15.79 is what percent of 853.71

100%/x%=853.71/15.79
(100/x)*x=(853.71/15.79)*x       - we multiply both sides of the equation by x
100=54.066497783407*x       - we divide both sides of the equation by (54.066497783407) to get x
100/54.066497783407=x
1.8495742113833=x
x=1.8495742113833

now we have:
15.79 is 1.8495742113833% of 853.71