203.3 is what percent of 258 - 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 258 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 258, so we can write it down as 100%=258.
4. We know, that x% equals 203.3 of the output value, so we can write it down as x%=203.3.
5. Now we have two simple equations:
1) 100%=258
2) x%=203.3
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%=258/203.3
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 203.3 is what percent of 258

100%/x%=258/203.3
(100/x)*x=(258/203.3)*x       - we multiply both sides of the equation by x
100=1.2690605017216*x       - we divide both sides of the equation by (1.2690605017216) to get x
100/1.2690605017216=x
78.798449612403=x
x=78.798449612403

now we have:
203.3 is 78.798449612403% of 258