15.5 is what percent of 1070.25 - 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 1070.25 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 1070.25, so we can write it down as 100%=1070.25.
4. We know, that x% equals 15.5 of the output value, so we can write it down as x%=15.5.
5. Now we have two simple equations:
1) 100%=1070.25
2) x%=15.5
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%=1070.25/15.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 15.5 is what percent of 1070.25

100%/x%=1070.25/15.5
(100/x)*x=(1070.25/15.5)*x       - we multiply both sides of the equation by x
100=69.048387096774*x       - we divide both sides of the equation by (69.048387096774) to get x
100/69.048387096774=x
1.4482597523943=x
x=1.4482597523943

now we have:
15.5 is 1.4482597523943% of 1070.25