203.47 is what percent of 210.35 - 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 210.35 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 210.35, so we can write it down as 100%=210.35.
4. We know, that x% equals 203.47 of the output value, so we can write it down as x%=203.47.
5. Now we have two simple equations:
1) 100%=210.35
2) x%=203.47
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%=210.35/203.47
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 203.47 is what percent of 210.35

100%/x%=210.35/203.47
(100/x)*x=(210.35/203.47)*x       - we multiply both sides of the equation by x
100=1.0338133385757*x       - we divide both sides of the equation by (1.0338133385757) to get x
100/1.0338133385757=x
96.729260755883=x
x=96.729260755883

now we have:
203.47 is 96.729260755883% of 210.35