65.67 is what percent of 1425.6 - 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 1425.6 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 1425.6, so we can write it down as 100%=1425.6.
4. We know, that x% equals 65.67 of the output value, so we can write it down as x%=65.67.
5. Now we have two simple equations:
1) 100%=1425.6
2) x%=65.67
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%=1425.6/65.67
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 65.67 is what percent of 1425.6

100%/x%=1425.6/65.67
(100/x)*x=(1425.6/65.67)*x       - we multiply both sides of the equation by x
100=21.708542713568*x       - we divide both sides of the equation by (21.708542713568) to get x
100/21.708542713568=x
4.6064814814815=x
x=4.6064814814815

now we have:
65.67 is 4.6064814814815% of 1425.6