564.2 is what percent of 700 - 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 700 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 700, so we can write it down as 100%=700.
4. We know, that x% equals 564.2 of the output value, so we can write it down as x%=564.2.
5. Now we have two simple equations:
1) 100%=700
2) x%=564.2
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%=700/564.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 564.2 is what percent of 700

100%/x%=700/564.2
(100/x)*x=(700/564.2)*x       - we multiply both sides of the equation by x
100=1.2406947890819*x       - we divide both sides of the equation by (1.2406947890819) to get x
100/1.2406947890819=x
80.6=x
x=80.6

now we have:
564.2 is 80.6% of 700