225171.48 is what percent of 309401.3 - 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 309401.3 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 309401.3, so we can write it down as 100%=309401.3.
4. We know, that x% equals 225171.48 of the output value, so we can write it down as x%=225171.48.
5. Now we have two simple equations:
1) 100%=309401.3
2) x%=225171.48
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%=309401.3/225171.48
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 225171.48 is what percent of 309401.3

100%/x%=309401.3/225171.48
(100/x)*x=(309401.3/225171.48)*x       - we multiply both sides of the equation by x
100=1.3740696645952*x       - we divide both sides of the equation by (1.3740696645952) to get x
100/1.3740696645952=x
72.776513867266=x
x=72.776513867266

now we have:
225171.48 is 72.776513867266% of 309401.3