267272.16 is what percent of 420727.86 - 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 420727.86 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 420727.86, so we can write it down as 100%=420727.86.
4. We know, that x% equals 267272.16 of the output value, so we can write it down as x%=267272.16.
5. Now we have two simple equations:
1) 100%=420727.86
2) x%=267272.16
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%=420727.86/267272.16
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 267272.16 is what percent of 420727.86

100%/x%=420727.86/267272.16
(100/x)*x=(420727.86/267272.16)*x       - we multiply both sides of the equation by x
100=1.574155198207*x       - we divide both sides of the equation by (1.574155198207) to get x
100/1.574155198207=x
63.526137774665=x
x=63.526137774665

now we have:
267272.16 is 63.526137774665% of 420727.86