10.36 is what percent of 370.08 - 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 370.08 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 370.08, so we can write it down as 100%=370.08.
4. We know, that x% equals 10.36 of the output value, so we can write it down as x%=10.36.
5. Now we have two simple equations:
1) 100%=370.08
2) x%=10.36
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%=370.08/10.36
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 10.36 is what percent of 370.08

100%/x%=370.08/10.36
(100/x)*x=(370.08/10.36)*x       - we multiply both sides of the equation by x
100=35.722007722008*x       - we divide both sides of the equation by (35.722007722008) to get x
100/35.722007722008=x
2.7993947254648=x
x=2.7993947254648

now we have:
10.36 is 2.7993947254648% of 370.08