0.36 is what percent of 35.46 - 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 35.46 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 35.46, so we can write it down as 100%=35.46.
4. We know, that x% equals 0.36 of the output value, so we can write it down as x%=0.36.
5. Now we have two simple equations:
1) 100%=35.46
2) x%=0.36
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%=35.46/0.36
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 0.36 is what percent of 35.46

100%/x%=35.46/0.36
(100/x)*x=(35.46/0.36)*x       - we multiply both sides of the equation by x
100=98.5*x       - we divide both sides of the equation by (98.5) to get x
100/98.5=x
1.0152284263959=x
x=1.0152284263959

now we have:
0.36 is 1.0152284263959% of 35.46