128.46 is what percent of 2742.48 - 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 2742.48 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 2742.48, so we can write it down as 100%=2742.48.
4. We know, that x% equals 128.46 of the output value, so we can write it down as x%=128.46.
5. Now we have two simple equations:
1) 100%=2742.48
2) x%=128.46
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%=2742.48/128.46
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 128.46 is what percent of 2742.48

100%/x%=2742.48/128.46
(100/x)*x=(2742.48/128.46)*x       - we multiply both sides of the equation by x
100=21.348902382064*x       - we divide both sides of the equation by (21.348902382064) to get x
100/21.348902382064=x
4.6840815612147=x
x=4.6840815612147

now we have:
128.46 is 4.6840815612147% of 2742.48