157.13 is what percent of 1618.16 - 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 1618.16 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 1618.16, so we can write it down as 100%=1618.16.
4. We know, that x% equals 157.13 of the output value, so we can write it down as x%=157.13.
5. Now we have two simple equations:
1) 100%=1618.16
2) x%=157.13
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%=1618.16/157.13
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 157.13 is what percent of 1618.16

100%/x%=1618.16/157.13
(100/x)*x=(1618.16/157.13)*x       - we multiply both sides of the equation by x
100=10.298224400178*x       - we divide both sides of the equation by (10.298224400178) to get x
100/10.298224400178=x
9.7104118257774=x
x=9.7104118257774

now we have:
157.13 is 9.7104118257774% of 1618.16