157.1 is what percent of 6679.28 - 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 6679.28 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 6679.28, so we can write it down as 100%=6679.28.
4. We know, that x% equals 157.1 of the output value, so we can write it down as x%=157.1.
5. Now we have two simple equations:
1) 100%=6679.28
2) x%=157.1
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%=6679.28/157.1
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 157.1 is what percent of 6679.28

100%/x%=6679.28/157.1
(100/x)*x=(6679.28/157.1)*x       - we multiply both sides of the equation by x
100=42.516104392107*x       - we divide both sides of the equation by (42.516104392107) to get x
100/42.516104392107=x
2.3520499215484=x
x=2.3520499215484

now we have:
157.1 is 2.3520499215484% of 6679.28