261.92 is what percent of 1120 - 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 1120 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 1120, so we can write it down as 100%=1120.
4. We know, that x% equals 261.92 of the output value, so we can write it down as x%=261.92.
5. Now we have two simple equations:
1) 100%=1120
2) x%=261.92
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%=1120/261.92
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 261.92 is what percent of 1120

100%/x%=1120/261.92
(100/x)*x=(1120/261.92)*x       - we multiply both sides of the equation by x
100=4.2761148442272*x       - we divide both sides of the equation by (4.2761148442272) to get x
100/4.2761148442272=x
23.385714285714=x
x=23.385714285714

now we have:
261.92 is 23.385714285714% of 1120