124.45 is what percent of 172.2 - 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 172.2 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 172.2, so we can write it down as 100%=172.2.
4. We know, that x% equals 124.45 of the output value, so we can write it down as x%=124.45.
5. Now we have two simple equations:
1) 100%=172.2
2) x%=124.45
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%=172.2/124.45
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 124.45 is what percent of 172.2

100%/x%=172.2/124.45
(100/x)*x=(172.2/124.45)*x       - we multiply both sides of the equation by x
100=1.3836882282041*x       - we divide both sides of the equation by (1.3836882282041) to get x
100/1.3836882282041=x
72.270615563298=x
x=72.270615563298

now we have:
124.45 is 72.270615563298% of 172.2