0.35 is what percent of 20.88 - 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 20.88 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 20.88, so we can write it down as 100%=20.88.
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%=20.88
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%=20.88/0.35
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 20.88

100%/x%=20.88/0.35
(100/x)*x=(20.88/0.35)*x       - we multiply both sides of the equation by x
100=59.657142857143*x       - we divide both sides of the equation by (59.657142857143) to get x
100/59.657142857143=x
1.676245210728=x
x=1.676245210728

now we have:
0.35 is 1.676245210728% of 20.88