540.4 is what percent of 772 - 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 772 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 772, so we can write it down as 100%=772.
4. We know, that x% equals 540.4 of the output value, so we can write it down as x%=540.4.
5. Now we have two simple equations:
1) 100%=772
2) x%=540.4
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%=772/540.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 540.4 is what percent of 772

100%/x%=772/540.4
(100/x)*x=(772/540.4)*x       - we multiply both sides of the equation by x
100=1.4285714285714*x       - we divide both sides of the equation by (1.4285714285714) to get x
100/1.4285714285714=x
70=x
x=70

now we have:
540.4 is 70% of 772