161.39 is what percent of 1709.3 - 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 1709.3 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 1709.3, so we can write it down as 100%=1709.3.
4. We know, that x% equals 161.39 of the output value, so we can write it down as x%=161.39.
5. Now we have two simple equations:
1) 100%=1709.3
2) x%=161.39
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%=1709.3/161.39
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 161.39 is what percent of 1709.3

100%/x%=1709.3/161.39
(100/x)*x=(1709.3/161.39)*x       - we multiply both sides of the equation by x
100=10.591114691121*x       - we divide both sides of the equation by (10.591114691121) to get x
100/10.591114691121=x
9.4418767916691=x
x=9.4418767916691

now we have:
161.39 is 9.4418767916691% of 1709.3