0.35 is what percent of 35.21 - 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 35.21 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 35.21, so we can write it down as 100%=35.21.
4. We know, that x% equals 0.35 of the output value, so we can write it down as x%=0.35.
5. Now we have two simple equations:
1) 100%=35.21
2) x%=0.35
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%=35.21/0.35
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 0.35 is what percent of 35.21

100%/x%=35.21/0.35
(100/x)*x=(35.21/0.35)*x       - we multiply both sides of the equation by x
100=100.6*x       - we divide both sides of the equation by (100.6) to get x
100/100.6=x
0.99403578528827=x
x=0.99403578528827

now we have:
0.35 is 0.99403578528827% of 35.21