175.86 is what percent of 1187.32 - 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 1187.32 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 1187.32, so we can write it down as 100%=1187.32.
4. We know, that x% equals 175.86 of the output value, so we can write it down as x%=175.86.
5. Now we have two simple equations:
1) 100%=1187.32
2) x%=175.86
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%=1187.32/175.86
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 175.86 is what percent of 1187.32

100%/x%=1187.32/175.86
(100/x)*x=(1187.32/175.86)*x       - we multiply both sides of the equation by x
100=6.7515068804731*x       - we divide both sides of the equation by (6.7515068804731) to get x
100/6.7515068804731=x
14.811508270727=x
x=14.811508270727

now we have:
175.86 is 14.811508270727% of 1187.32