880.25 is what percent of 2180.25 - 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 2180.25 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 2180.25, so we can write it down as 100%=2180.25.
4. We know, that x% equals 880.25 of the output value, so we can write it down as x%=880.25.
5. Now we have two simple equations:
1) 100%=2180.25
2) x%=880.25
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%=2180.25/880.25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 880.25 is what percent of 2180.25

100%/x%=2180.25/880.25
(100/x)*x=(2180.25/880.25)*x       - we multiply both sides of the equation by x
100=2.476853166714*x       - we divide both sides of the equation by (2.476853166714) to get x
100/2.476853166714=x
40.373810342851=x
x=40.373810342851

now we have:
880.25 is 40.373810342851% of 2180.25