958.28 is what percent of 5782.8 - 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 5782.8 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 5782.8, so we can write it down as 100%=5782.8.
4. We know, that x% equals 958.28 of the output value, so we can write it down as x%=958.28.
5. Now we have two simple equations:
1) 100%=5782.8
2) x%=958.28
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%=5782.8/958.28
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 958.28 is what percent of 5782.8

100%/x%=5782.8/958.28
(100/x)*x=(5782.8/958.28)*x       - we multiply both sides of the equation by x
100=6.0345619234462*x       - we divide both sides of the equation by (6.0345619234462) to get x
100/6.0345619234462=x
16.571211177976=x
x=16.571211177976

now we have:
958.28 is 16.571211177976% of 5782.8