129.3 is what percent of 220 - 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 220 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 220, so we can write it down as 100%=220.
4. We know, that x% equals 129.3 of the output value, so we can write it down as x%=129.3.
5. Now we have two simple equations:
1) 100%=220
2) x%=129.3
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%=220/129.3
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 129.3 is what percent of 220

100%/x%=220/129.3
(100/x)*x=(220/129.3)*x       - we multiply both sides of the equation by x
100=1.7014694508894*x       - we divide both sides of the equation by (1.7014694508894) to get x
100/1.7014694508894=x
58.772727272727=x
x=58.772727272727

now we have:
129.3 is 58.772727272727% of 220