172.42 is what percent of 421.88 - 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 421.88 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 421.88, so we can write it down as 100%=421.88.
4. We know, that x% equals 172.42 of the output value, so we can write it down as x%=172.42.
5. Now we have two simple equations:
1) 100%=421.88
2) x%=172.42
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%=421.88/172.42
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 172.42 is what percent of 421.88

100%/x%=421.88/172.42
(100/x)*x=(421.88/172.42)*x       - we multiply both sides of the equation by x
100=2.4468159146271*x       - we divide both sides of the equation by (2.4468159146271) to get x
100/2.4468159146271=x
40.869441547359=x
x=40.869441547359

now we have:
172.42 is 40.869441547359% of 421.88