800.3 is what percent of 1470.1 - 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 1470.1 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 1470.1, so we can write it down as 100%=1470.1.
4. We know, that x% equals 800.3 of the output value, so we can write it down as x%=800.3.
5. Now we have two simple equations:
1) 100%=1470.1
2) x%=800.3
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%=1470.1/800.3
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 800.3 is what percent of 1470.1

100%/x%=1470.1/800.3
(100/x)*x=(1470.1/800.3)*x       - we multiply both sides of the equation by x
100=1.8369361489441*x       - we divide both sides of the equation by (1.8369361489441) to get x
100/1.8369361489441=x
54.438473573226=x
x=54.438473573226

now we have:
800.3 is 54.438473573226% of 1470.1