155.91 is what percent of 13997.63 - 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 13997.63 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 13997.63, so we can write it down as 100%=13997.63.
4. We know, that x% equals 155.91 of the output value, so we can write it down as x%=155.91.
5. Now we have two simple equations:
1) 100%=13997.63
2) x%=155.91
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%=13997.63/155.91
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 155.91 is what percent of 13997.63

100%/x%=13997.63/155.91
(100/x)*x=(13997.63/155.91)*x       - we multiply both sides of the equation by x
100=89.780193701494*x       - we divide both sides of the equation by (89.780193701494) to get x
100/89.780193701494=x
1.1138314128892=x
x=1.1138314128892

now we have:
155.91 is 1.1138314128892% of 13997.63