156.77 is what percent of 3141.41 - 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 3141.41 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 3141.41, so we can write it down as 100%=3141.41.
4. We know, that x% equals 156.77 of the output value, so we can write it down as x%=156.77.
5. Now we have two simple equations:
1) 100%=3141.41
2) x%=156.77
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%=3141.41/156.77
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 156.77 is what percent of 3141.41

100%/x%=3141.41/156.77
(100/x)*x=(3141.41/156.77)*x       - we multiply both sides of the equation by x
100=20.038336416406*x       - we divide both sides of the equation by (20.038336416406) to get x
100/20.038336416406=x
4.9904342317622=x
x=4.9904342317622

now we have:
156.77 is 4.9904342317622% of 3141.41