167.17 is what percent of 1345.6 - 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 1345.6 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 1345.6, so we can write it down as 100%=1345.6.
4. We know, that x% equals 167.17 of the output value, so we can write it down as x%=167.17.
5. Now we have two simple equations:
1) 100%=1345.6
2) x%=167.17
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%=1345.6/167.17
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 167.17 is what percent of 1345.6

100%/x%=1345.6/167.17
(100/x)*x=(1345.6/167.17)*x       - we multiply both sides of the equation by x
100=8.0492911407549*x       - we divide both sides of the equation by (8.0492911407549) to get x
100/8.0492911407549=x
12.423454221165=x
x=12.423454221165

now we have:
167.17 is 12.423454221165% of 1345.6