29.36 is what percent of 815.14 - 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 815.14 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 815.14, so we can write it down as 100%=815.14.
4. We know, that x% equals 29.36 of the output value, so we can write it down as x%=29.36.
5. Now we have two simple equations:
1) 100%=815.14
2) x%=29.36
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%=815.14/29.36
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 29.36 is what percent of 815.14

100%/x%=815.14/29.36
(100/x)*x=(815.14/29.36)*x       - we multiply both sides of the equation by x
100=27.763623978202*x       - we divide both sides of the equation by (27.763623978202) to get x
100/27.763623978202=x
3.6018352675614=x
x=3.6018352675614

now we have:
29.36 is 3.6018352675614% of 815.14