5486.32 is what percent of 10100 - 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 10100 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 10100, so we can write it down as 100%=10100.
4. We know, that x% equals 5486.32 of the output value, so we can write it down as x%=5486.32.
5. Now we have two simple equations:
1) 100%=10100
2) x%=5486.32
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%=10100/5486.32
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 5486.32 is what percent of 10100

100%/x%=10100/5486.32
(100/x)*x=(10100/5486.32)*x       - we multiply both sides of the equation by x
100=1.840942562592*x       - we divide both sides of the equation by (1.840942562592) to get x
100/1.840942562592=x
54.32=x
x=54.32

now we have:
5486.32 is 54.32% of 10100