31.5 is what percent of 4573 - 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 4573 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 4573, so we can write it down as 100%=4573.
4. We know, that x% equals 31.5 of the output value, so we can write it down as x%=31.5.
5. Now we have two simple equations:
1) 100%=4573
2) x%=31.5
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%=4573/31.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 31.5 is what percent of 4573

100%/x%=4573/31.5
(100/x)*x=(4573/31.5)*x       - we multiply both sides of the equation by x
100=145.1746031746*x       - we divide both sides of the equation by (145.1746031746) to get x
100/145.1746031746=x
0.68882571616007=x
x=0.68882571616007

now we have:
31.5 is 0.68882571616007% of 4573