What is 86.95 percent of 172.55 - 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 172.55 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 172.55 is 100%, so we can write it down as 172.55=100%.
4. We know, that x is 86.95% of the output value, so we can write it down as x=86.95%.
5. Now we have two simple equations:
1) 172.55=100%
2) x=86.95%
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:
172.55/x=100%/86.95%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 86.95% of 172.55

172.55/x=100/86.95
(172.55/x)*x=(100/86.95)*x       - we multiply both sides of the equation by x
172.55=1.1500862564692*x       - we divide both sides of the equation by (1.1500862564692) to get x
172.55/1.1500862564692=x
150.032225=x
x=150.032225

now we have:
86.95% of 172.55=150.032225