162.3 is what percent of 190 - 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 190 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 190, so we can write it down as 100%=190.
4. We know, that x% equals 162.3 of the output value, so we can write it down as x%=162.3.
5. Now we have two simple equations:
1) 100%=190
2) x%=162.3
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%=190/162.3
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 162.3 is what percent of 190

100%/x%=190/162.3
(100/x)*x=(190/162.3)*x       - we multiply both sides of the equation by x
100=1.1706715958102*x       - we divide both sides of the equation by (1.1706715958102) to get x
100/1.1706715958102=x
85.421052631579=x
x=85.421052631579

now we have:
162.3 is 85.421052631579% of 190