2.36 is what percent of 359.296 - 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 359.296 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 359.296, so we can write it down as 100%=359.296.
4. We know, that x% equals 2.36 of the output value, so we can write it down as x%=2.36.
5. Now we have two simple equations:
1) 100%=359.296
2) x%=2.36
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%=359.296/2.36
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 2.36 is what percent of 359.296

100%/x%=359.296/2.36
(100/x)*x=(359.296/2.36)*x       - we multiply both sides of the equation by x
100=152.24406779661*x       - we divide both sides of the equation by (152.24406779661) to get x
100/152.24406779661=x
0.65684004275027=x
x=0.65684004275027

now we have:
2.36 is 0.65684004275027% of 359.296