31739.4 is what percent of 39975 - 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 39975 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 39975, so we can write it down as 100%=39975.
4. We know, that x% equals 31739.4 of the output value, so we can write it down as x%=31739.4.
5. Now we have two simple equations:
1) 100%=39975
2) x%=31739.4
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%=39975/31739.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 31739.4 is what percent of 39975

100%/x%=39975/31739.4
(100/x)*x=(39975/31739.4)*x       - we multiply both sides of the equation by x
100=1.2594756044538*x       - we divide both sides of the equation by (1.2594756044538) to get x
100/1.2594756044538=x
79.398123827392=x
x=79.398123827392

now we have:
31739.4 is 79.398123827392% of 39975