351.76 is what percent of 4258.96 - 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 4258.96 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 4258.96, so we can write it down as 100%=4258.96.
4. We know, that x% equals 351.76 of the output value, so we can write it down as x%=351.76.
5. Now we have two simple equations:
1) 100%=4258.96
2) x%=351.76
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%=4258.96/351.76
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 351.76 is what percent of 4258.96

100%/x%=4258.96/351.76
(100/x)*x=(4258.96/351.76)*x       - we multiply both sides of the equation by x
100=12.107573345463*x       - we divide both sides of the equation by (12.107573345463) to get x
100/12.107573345463=x
8.2592933486109=x
x=8.2592933486109

now we have:
351.76 is 8.2592933486109% of 4258.96