503.2 is what percent of 989.8 - 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 989.8 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 989.8, so we can write it down as 100%=989.8.
4. We know, that x% equals 503.2 of the output value, so we can write it down as x%=503.2.
5. Now we have two simple equations:
1) 100%=989.8
2) x%=503.2
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%=989.8/503.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 503.2 is what percent of 989.8

100%/x%=989.8/503.2
(100/x)*x=(989.8/503.2)*x       - we multiply both sides of the equation by x
100=1.9670111287758*x       - we divide both sides of the equation by (1.9670111287758) to get x
100/1.9670111287758=x
50.838553243079=x
x=50.838553243079

now we have:
503.2 is 50.838553243079% of 989.8