0.35 is what percent of 17.34 - 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 17.34 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 17.34, so we can write it down as 100%=17.34.
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%=17.34
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%=17.34/0.35
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 17.34

100%/x%=17.34/0.35
(100/x)*x=(17.34/0.35)*x       - we multiply both sides of the equation by x
100=49.542857142857*x       - we divide both sides of the equation by (49.542857142857) to get x
100/49.542857142857=x
2.0184544405998=x
x=2.0184544405998

now we have:
0.35 is 2.0184544405998% of 17.34