470.24 is what percent of 5300 - 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 5300 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 5300, so we can write it down as 100%=5300.
4. We know, that x% equals 470.24 of the output value, so we can write it down as x%=470.24.
5. Now we have two simple equations:
1) 100%=5300
2) x%=470.24
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%=5300/470.24
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 470.24 is what percent of 5300

100%/x%=5300/470.24
(100/x)*x=(5300/470.24)*x       - we multiply both sides of the equation by x
100=11.270840421912*x       - we divide both sides of the equation by (11.270840421912) to get x
100/11.270840421912=x
8.8724528301887=x
x=8.8724528301887

now we have:
470.24 is 8.8724528301887% of 5300