473.69 is what percent of 1143.82 - 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 1143.82 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 1143.82, so we can write it down as 100%=1143.82.
4. We know, that x% equals 473.69 of the output value, so we can write it down as x%=473.69.
5. Now we have two simple equations:
1) 100%=1143.82
2) x%=473.69
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%=1143.82/473.69
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 473.69 is what percent of 1143.82

100%/x%=1143.82/473.69
(100/x)*x=(1143.82/473.69)*x       - we multiply both sides of the equation by x
100=2.4147015980916*x       - we divide both sides of the equation by (2.4147015980916) to get x
100/2.4147015980916=x
41.412984560508=x
x=41.412984560508

now we have:
473.69 is 41.412984560508% of 1143.82