1557.55 is what percent of 15240 - 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 15240 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 15240, so we can write it down as 100%=15240.
4. We know, that x% equals 1557.55 of the output value, so we can write it down as x%=1557.55.
5. Now we have two simple equations:
1) 100%=15240
2) x%=1557.55
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%=15240/1557.55
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1557.55 is what percent of 15240

100%/x%=15240/1557.55
(100/x)*x=(15240/1557.55)*x       - we multiply both sides of the equation by x
100=9.7845976052133*x       - we divide both sides of the equation by (9.7845976052133) to get x
100/9.7845976052133=x
10.220144356955=x
x=10.220144356955

now we have:
1557.55 is 10.220144356955% of 15240