353.37 is what percent of 7344.87 - 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 7344.87 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 7344.87, so we can write it down as 100%=7344.87.
4. We know, that x% equals 353.37 of the output value, so we can write it down as x%=353.37.
5. Now we have two simple equations:
1) 100%=7344.87
2) x%=353.37
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%=7344.87/353.37
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 353.37 is what percent of 7344.87

100%/x%=7344.87/353.37
(100/x)*x=(7344.87/353.37)*x       - we multiply both sides of the equation by x
100=20.785210968673*x       - we divide both sides of the equation by (20.785210968673) to get x
100/20.785210968673=x
4.8111130625865=x
x=4.8111130625865

now we have:
353.37 is 4.8111130625865% of 7344.87