247.55 is what percent of 407.23 - 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 407.23 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 407.23, so we can write it down as 100%=407.23.
4. We know, that x% equals 247.55 of the output value, so we can write it down as x%=247.55.
5. Now we have two simple equations:
1) 100%=407.23
2) x%=247.55
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%=407.23/247.55
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 247.55 is what percent of 407.23

100%/x%=407.23/247.55
(100/x)*x=(407.23/247.55)*x       - we multiply both sides of the equation by x
100=1.6450414057766*x       - we divide both sides of the equation by (1.6450414057766) to get x
100/1.6450414057766=x
60.788743461926=x
x=60.788743461926

now we have:
247.55 is 60.788743461926% of 407.23