246.4 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 246.4 of the output value, so we can write it down as x%=246.4.
5. Now we have two simple equations:
1) 100%=407.23
2) x%=246.4
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%=407.23/246.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 246.4 is what percent of 407.23

100%/x%=407.23/246.4
(100/x)*x=(407.23/246.4)*x       - we multiply both sides of the equation by x
100=1.6527191558442*x       - we divide both sides of the equation by (1.6527191558442) to get x
100/1.6527191558442=x
60.506347764163=x
x=60.506347764163

now we have:
246.4 is 60.506347764163% of 407.23