45.72 is what percent of 803.98 - 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 803.98 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 803.98, so we can write it down as 100%=803.98.
4. We know, that x% equals 45.72 of the output value, so we can write it down as x%=45.72.
5. Now we have two simple equations:
1) 100%=803.98
2) x%=45.72
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%=803.98/45.72
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 45.72 is what percent of 803.98

100%/x%=803.98/45.72
(100/x)*x=(803.98/45.72)*x       - we multiply both sides of the equation by x
100=17.584864391951*x       - we divide both sides of the equation by (17.584864391951) to get x
100/17.584864391951=x
5.6867086245927=x
x=5.6867086245927

now we have:
45.72 is 5.6867086245927% of 803.98