1165.71 is what percent of 5929.58 - 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 5929.58 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 5929.58, so we can write it down as 100%=5929.58.
4. We know, that x% equals 1165.71 of the output value, so we can write it down as x%=1165.71.
5. Now we have two simple equations:
1) 100%=5929.58
2) x%=1165.71
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%=5929.58/1165.71
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1165.71 is what percent of 5929.58

100%/x%=5929.58/1165.71
(100/x)*x=(5929.58/1165.71)*x       - we multiply both sides of the equation by x
100=5.08666821079*x       - we divide both sides of the equation by (5.08666821079) to get x
100/5.08666821079=x
19.659233874912=x
x=19.659233874912

now we have:
1165.71 is 19.659233874912% of 5929.58