812.55 is what percent of 3360.55 - 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 3360.55 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 3360.55, so we can write it down as 100%=3360.55.
4. We know, that x% equals 812.55 of the output value, so we can write it down as x%=812.55.
5. Now we have two simple equations:
1) 100%=3360.55
2) x%=812.55
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%=3360.55/812.55
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 812.55 is what percent of 3360.55

100%/x%=3360.55/812.55
(100/x)*x=(3360.55/812.55)*x       - we multiply both sides of the equation by x
100=4.1358070272599*x       - we divide both sides of the equation by (4.1358070272599) to get x
100/4.1358070272599=x
24.179077829522=x
x=24.179077829522

now we have:
812.55 is 24.179077829522% of 3360.55