53.3 is what percent of 10000 - 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 10000 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 10000, so we can write it down as 100%=10000.
4. We know, that x% equals 53.3 of the output value, so we can write it down as x%=53.3.
5. Now we have two simple equations:
1) 100%=10000
2) x%=53.3
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%=10000/53.3
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 53.3 is what percent of 10000

100%/x%=10000/53.3
(100/x)*x=(10000/53.3)*x       - we multiply both sides of the equation by x
100=187.61726078799*x       - we divide both sides of the equation by (187.61726078799) to get x
100/187.61726078799=x
0.533=x
x=0.533

now we have:
53.3 is 0.533% of 10000