52.47 is what percent of 10493.62 - 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 10493.62 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 10493.62, so we can write it down as 100%=10493.62.
4. We know, that x% equals 52.47 of the output value, so we can write it down as x%=52.47.
5. Now we have two simple equations:
1) 100%=10493.62
2) x%=52.47
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%=10493.62/52.47
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 52.47 is what percent of 10493.62

100%/x%=10493.62/52.47
(100/x)*x=(10493.62/52.47)*x       - we multiply both sides of the equation by x
100=199.99275776634*x       - we divide both sides of the equation by (199.99275776634) to get x
100/199.99275776634=x
0.50001810623979=x
x=0.50001810623979

now we have:
52.47 is 0.50001810623979% of 10493.62