1631.28 is what percent of 1599.38 - 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 1599.38 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 1599.38, so we can write it down as 100%=1599.38.
4. We know, that x% equals 1631.28 of the output value, so we can write it down as x%=1631.28.
5. Now we have two simple equations:
1) 100%=1599.38
2) x%=1631.28
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%=1599.38/1631.28
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1631.28 is what percent of 1599.38

100%/x%=1599.38/1631.28
(100/x)*x=(1599.38/1631.28)*x       - we multiply both sides of the equation by x
100=0.98044480408023*x       - we divide both sides of the equation by (0.98044480408023) to get x
100/0.98044480408023=x
101.99452287762=x
x=101.99452287762

now we have:
1631.28 is 101.99452287762% of 1599.38