815.97 is what percent of 1165.67 - 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 1165.67 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 1165.67, so we can write it down as 100%=1165.67.
4. We know, that x% equals 815.97 of the output value, so we can write it down as x%=815.97.
5. Now we have two simple equations:
1) 100%=1165.67
2) x%=815.97
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%=1165.67/815.97
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 815.97 is what percent of 1165.67

100%/x%=1165.67/815.97
(100/x)*x=(1165.67/815.97)*x       - we multiply both sides of the equation by x
100=1.4285696778068*x       - we divide both sides of the equation by (1.4285696778068) to get x
100/1.4285696778068=x
70.000085787573=x
x=70.000085787573

now we have:
815.97 is 70.000085787573% of 1165.67