162.4 is what percent of 176.41 - 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 176.41 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 176.41, so we can write it down as 100%=176.41.
4. We know, that x% equals 162.4 of the output value, so we can write it down as x%=162.4.
5. Now we have two simple equations:
1) 100%=176.41
2) x%=162.4
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%=176.41/162.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 162.4 is what percent of 176.41

100%/x%=176.41/162.4
(100/x)*x=(176.41/162.4)*x       - we multiply both sides of the equation by x
100=1.0862684729064*x       - we divide both sides of the equation by (1.0862684729064) to get x
100/1.0862684729064=x
92.058273340514=x
x=92.058273340514

now we have:
162.4 is 92.058273340514% of 176.41