167.96 is what percent of 1709 - 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 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, so we can write it down as 100%=1709.
4. We know, that x% equals 167.96 of the output value, so we can write it down as x%=167.96.
5. Now we have two simple equations:
1) 100%=1709
2) x%=167.96
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%=1709/167.96
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 167.96 is what percent of 1709

100%/x%=1709/167.96
(100/x)*x=(1709/167.96)*x       - we multiply both sides of the equation by x
100=10.17504167659*x       - we divide both sides of the equation by (10.17504167659) to get x
100/10.17504167659=x
9.8279695728496=x
x=9.8279695728496

now we have:
167.96 is 9.8279695728496% of 1709