156.16 is what percent of 5469.75 - 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 5469.75 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 5469.75, so we can write it down as 100%=5469.75.
4. We know, that x% equals 156.16 of the output value, so we can write it down as x%=156.16.
5. Now we have two simple equations:
1) 100%=5469.75
2) x%=156.16
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%=5469.75/156.16
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 156.16 is what percent of 5469.75

100%/x%=5469.75/156.16
(100/x)*x=(5469.75/156.16)*x       - we multiply both sides of the equation by x
100=35.026575307377*x       - we divide both sides of the equation by (35.026575307377) to get x
100/35.026575307377=x
2.8549750902692=x
x=2.8549750902692

now we have:
156.16 is 2.8549750902692% of 5469.75