5733.33 is what percent of 5847.66 - 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 5847.66 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 5847.66, so we can write it down as 100%=5847.66.
4. We know, that x% equals 5733.33 of the output value, so we can write it down as x%=5733.33.
5. Now we have two simple equations:
1) 100%=5847.66
2) x%=5733.33
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%=5847.66/5733.33
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 5733.33 is what percent of 5847.66

100%/x%=5847.66/5733.33
(100/x)*x=(5847.66/5733.33)*x       - we multiply both sides of the equation by x
100=1.0199412906635*x       - we divide both sides of the equation by (1.0199412906635) to get x
100/1.0199412906635=x
98.044858969229=x
x=98.044858969229

now we have:
5733.33 is 98.044858969229% of 5847.66