69.77 is what percent of 430.22 - 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 430.22 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 430.22, so we can write it down as 100%=430.22.
4. We know, that x% equals 69.77 of the output value, so we can write it down as x%=69.77.
5. Now we have two simple equations:
1) 100%=430.22
2) x%=69.77
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%=430.22/69.77
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 69.77 is what percent of 430.22

100%/x%=430.22/69.77
(100/x)*x=(430.22/69.77)*x       - we multiply both sides of the equation by x
100=6.1662605704458*x       - we divide both sides of the equation by (6.1662605704458) to get x
100/6.1662605704458=x
16.217284180187=x
x=16.217284180187

now we have:
69.77 is 16.217284180187% of 430.22