31.55 is what percent of 40.99 - 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 40.99 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 40.99, so we can write it down as 100%=40.99.
4. We know, that x% equals 31.55 of the output value, so we can write it down as x%=31.55.
5. Now we have two simple equations:
1) 100%=40.99
2) x%=31.55
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%=40.99/31.55
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 31.55 is what percent of 40.99

100%/x%=40.99/31.55
(100/x)*x=(40.99/31.55)*x       - we multiply both sides of the equation by x
100=1.2992076069731*x       - we divide both sides of the equation by (1.2992076069731) to get x
100/1.2992076069731=x
76.969992681142=x
x=76.969992681142

now we have:
31.55 is 76.969992681142% of 40.99