167.22 is what percent of 184.32 - 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 184.32 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 184.32, so we can write it down as 100%=184.32.
4. We know, that x% equals 167.22 of the output value, so we can write it down as x%=167.22.
5. Now we have two simple equations:
1) 100%=184.32
2) x%=167.22
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%=184.32/167.22
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 167.22 is what percent of 184.32

100%/x%=184.32/167.22
(100/x)*x=(184.32/167.22)*x       - we multiply both sides of the equation by x
100=1.1022604951561*x       - we divide both sides of the equation by (1.1022604951561) to get x
100/1.1022604951561=x
90.72265625=x
x=90.72265625

now we have:
167.22 is 90.72265625% of 184.32