114.32 is what percent of 1385.68 - 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 1385.68 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 1385.68, so we can write it down as 100%=1385.68.
4. We know, that x% equals 114.32 of the output value, so we can write it down as x%=114.32.
5. Now we have two simple equations:
1) 100%=1385.68
2) x%=114.32
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%=1385.68/114.32
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 114.32 is what percent of 1385.68

100%/x%=1385.68/114.32
(100/x)*x=(1385.68/114.32)*x       - we multiply both sides of the equation by x
100=12.121063680896*x       - we divide both sides of the equation by (12.121063680896) to get x
100/12.121063680896=x
8.2501010334276=x
x=8.2501010334276

now we have:
114.32 is 8.2501010334276% of 1385.68