442.1 is what percent of 503 - 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 503 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 503, so we can write it down as 100%=503.
4. We know, that x% equals 442.1 of the output value, so we can write it down as x%=442.1.
5. Now we have two simple equations:
1) 100%=503
2) x%=442.1
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%=503/442.1
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 442.1 is what percent of 503

100%/x%=503/442.1
(100/x)*x=(503/442.1)*x       - we multiply both sides of the equation by x
100=1.1377516399005*x       - we divide both sides of the equation by (1.1377516399005) to get x
100/1.1377516399005=x
87.892644135189=x
x=87.892644135189

now we have:
442.1 is 87.892644135189% of 503