215.77 is what percent of 1088 - 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 1088 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 1088, so we can write it down as 100%=1088.
4. We know, that x% equals 215.77 of the output value, so we can write it down as x%=215.77.
5. Now we have two simple equations:
1) 100%=1088
2) x%=215.77
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%=1088/215.77
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 215.77 is what percent of 1088

100%/x%=1088/215.77
(100/x)*x=(1088/215.77)*x       - we multiply both sides of the equation by x
100=5.0424062659313*x       - we divide both sides of the equation by (5.0424062659313) to get x
100/5.0424062659313=x
19.831801470588=x
x=19.831801470588

now we have:
215.77 is 19.831801470588% of 1088