420.7 is what percent of 596 - 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 596 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 596, so we can write it down as 100%=596.
4. We know, that x% equals 420.7 of the output value, so we can write it down as x%=420.7.
5. Now we have two simple equations:
1) 100%=596
2) x%=420.7
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%=596/420.7
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 420.7 is what percent of 596

100%/x%=596/420.7
(100/x)*x=(596/420.7)*x       - we multiply both sides of the equation by x
100=1.4166864749227*x       - we divide both sides of the equation by (1.4166864749227) to get x
100/1.4166864749227=x
70.587248322148=x
x=70.587248322148

now we have:
420.7 is 70.587248322148% of 596