158.1 is what percent of 1690 - 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 1690 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 1690, so we can write it down as 100%=1690.
4. We know, that x% equals 158.1 of the output value, so we can write it down as x%=158.1.
5. Now we have two simple equations:
1) 100%=1690
2) x%=158.1
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%=1690/158.1
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 158.1 is what percent of 1690

100%/x%=1690/158.1
(100/x)*x=(1690/158.1)*x       - we multiply both sides of the equation by x
100=10.689437065149*x       - we divide both sides of the equation by (10.689437065149) to get x
100/10.689437065149=x
9.3550295857988=x
x=9.3550295857988

now we have:
158.1 is 9.3550295857988% of 1690