88.46 is what percent of 1315.86 - 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 1315.86 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 1315.86, so we can write it down as 100%=1315.86.
4. We know, that x% equals 88.46 of the output value, so we can write it down as x%=88.46.
5. Now we have two simple equations:
1) 100%=1315.86
2) x%=88.46
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%=1315.86/88.46
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 88.46 is what percent of 1315.86

100%/x%=1315.86/88.46
(100/x)*x=(1315.86/88.46)*x       - we multiply both sides of the equation by x
100=14.875197829527*x       - we divide both sides of the equation by (14.875197829527) to get x
100/14.875197829527=x
6.7225996686578=x
x=6.7225996686578

now we have:
88.46 is 6.7225996686578% of 1315.86