156.29 is what percent of 172.04 - 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 172.04 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 172.04, so we can write it down as 100%=172.04.
4. We know, that x% equals 156.29 of the output value, so we can write it down as x%=156.29.
5. Now we have two simple equations:
1) 100%=172.04
2) x%=156.29
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%=172.04/156.29
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 156.29 is what percent of 172.04

100%/x%=172.04/156.29
(100/x)*x=(172.04/156.29)*x       - we multiply both sides of the equation by x
100=1.1007742018043*x       - we divide both sides of the equation by (1.1007742018043) to get x
100/1.1007742018043=x
90.845152290165=x
x=90.845152290165

now we have:
156.29 is 90.845152290165% of 172.04