61.31 is what percent of 323.75 - 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 323.75 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 323.75, so we can write it down as 100%=323.75.
4. We know, that x% equals 61.31 of the output value, so we can write it down as x%=61.31.
5. Now we have two simple equations:
1) 100%=323.75
2) x%=61.31
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%=323.75/61.31
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 61.31 is what percent of 323.75

100%/x%=323.75/61.31
(100/x)*x=(323.75/61.31)*x       - we multiply both sides of the equation by x
100=5.2805415103572*x       - we divide both sides of the equation by (5.2805415103572) to get x
100/5.2805415103572=x
18.937451737452=x
x=18.937451737452

now we have:
61.31 is 18.937451737452% of 323.75