420.12 is what percent of 581.77 - 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 581.77 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 581.77, so we can write it down as 100%=581.77.
4. We know, that x% equals 420.12 of the output value, so we can write it down as x%=420.12.
5. Now we have two simple equations:
1) 100%=581.77
2) x%=420.12
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%=581.77/420.12
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 420.12 is what percent of 581.77

100%/x%=581.77/420.12
(100/x)*x=(581.77/420.12)*x       - we multiply both sides of the equation by x
100=1.3847710178044*x       - we divide both sides of the equation by (1.3847710178044) to get x
100/1.3847710178044=x
72.214105230589=x
x=72.214105230589

now we have:
420.12 is 72.214105230589% of 581.77