263.98 is what percent of 1143.91 - 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 1143.91 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 1143.91, so we can write it down as 100%=1143.91.
4. We know, that x% equals 263.98 of the output value, so we can write it down as x%=263.98.
5. Now we have two simple equations:
1) 100%=1143.91
2) x%=263.98
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%=1143.91/263.98
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 263.98 is what percent of 1143.91

100%/x%=1143.91/263.98
(100/x)*x=(1143.91/263.98)*x       - we multiply both sides of the equation by x
100=4.3333207061141*x       - we divide both sides of the equation by (4.3333207061141) to get x
100/4.3333207061141=x
23.076990322665=x
x=23.076990322665

now we have:
263.98 is 23.076990322665% of 1143.91