356.29 is what percent of 362.64 - 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 362.64 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 362.64, so we can write it down as 100%=362.64.
4. We know, that x% equals 356.29 of the output value, so we can write it down as x%=356.29.
5. Now we have two simple equations:
1) 100%=362.64
2) x%=356.29
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%=362.64/356.29
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 356.29 is what percent of 362.64

100%/x%=362.64/356.29
(100/x)*x=(362.64/356.29)*x       - we multiply both sides of the equation by x
100=1.0178225602739*x       - we divide both sides of the equation by (1.0178225602739) to get x
100/1.0178225602739=x
98.248952128833=x
x=98.248952128833

now we have:
356.29 is 98.248952128833% of 362.64