129.13 is what percent of 4958.42 - 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 4958.42 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 4958.42, so we can write it down as 100%=4958.42.
4. We know, that x% equals 129.13 of the output value, so we can write it down as x%=129.13.
5. Now we have two simple equations:
1) 100%=4958.42
2) x%=129.13
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%=4958.42/129.13
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 129.13 is what percent of 4958.42

100%/x%=4958.42/129.13
(100/x)*x=(4958.42/129.13)*x       - we multiply both sides of the equation by x
100=38.398668008983*x       - we divide both sides of the equation by (38.398668008983) to get x
100/38.398668008983=x
2.6042570012222=x
x=2.6042570012222

now we have:
129.13 is 2.6042570012222% of 4958.42