359.42 is what percent of 345.3 - 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 345.3 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 345.3, so we can write it down as 100%=345.3.
4. We know, that x% equals 359.42 of the output value, so we can write it down as x%=359.42.
5. Now we have two simple equations:
1) 100%=345.3
2) x%=359.42
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%=345.3/359.42
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 359.42 is what percent of 345.3

100%/x%=345.3/359.42
(100/x)*x=(345.3/359.42)*x       - we multiply both sides of the equation by x
100=0.96071448444716*x       - we divide both sides of the equation by (0.96071448444716) to get x
100/0.96071448444716=x
104.08919779902=x
x=104.08919779902

now we have:
359.42 is 104.08919779902% of 345.3