429.15 is what percent of 560.7 - 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 560.7 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 560.7, so we can write it down as 100%=560.7.
4. We know, that x% equals 429.15 of the output value, so we can write it down as x%=429.15.
5. Now we have two simple equations:
1) 100%=560.7
2) x%=429.15
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%=560.7/429.15
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 429.15 is what percent of 560.7

100%/x%=560.7/429.15
(100/x)*x=(560.7/429.15)*x       - we multiply both sides of the equation by x
100=1.3065361761622*x       - we divide both sides of the equation by (1.3065361761622) to get x
100/1.3065361761622=x
76.538255751739=x
x=76.538255751739

now we have:
429.15 is 76.538255751739% of 560.7