3112.59 is what percent of 31.025 - 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 31.025 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 31.025, so we can write it down as 100%=31.025.
4. We know, that x% equals 3112.59 of the output value, so we can write it down as x%=3112.59.
5. Now we have two simple equations:
1) 100%=31.025
2) x%=3112.59
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%=31.025/3112.59
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 3112.59 is what percent of 31.025

100%/x%=31.025/3112.59
(100/x)*x=(31.025/3112.59)*x       - we multiply both sides of the equation by x
100=0.0099675832666686*x       - we divide both sides of the equation by (0.0099675832666686) to get x
100/0.0099675832666686=x
10032.522159549=x
x=10032.522159549

now we have:
3112.59 is 10032.522159549% of 31.025