579.6 is what percent of 703.2 - 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 703.2 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 703.2, so we can write it down as 100%=703.2.
4. We know, that x% equals 579.6 of the output value, so we can write it down as x%=579.6.
5. Now we have two simple equations:
1) 100%=703.2
2) x%=579.6
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%=703.2/579.6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 579.6 is what percent of 703.2

100%/x%=703.2/579.6
(100/x)*x=(703.2/579.6)*x       - we multiply both sides of the equation by x
100=1.2132505175983*x       - we divide both sides of the equation by (1.2132505175983) to get x
100/1.2132505175983=x
82.423208191126=x
x=82.423208191126

now we have:
579.6 is 82.423208191126% of 703.2