35 is what percent of 71.4 - 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 71.4 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 71.4, so we can write it down as 100%=71.4.
4. We know, that x% equals 35 of the output value, so we can write it down as x%=35.
5. Now we have two simple equations:
1) 100%=71.4
2) x%=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%=71.4/35
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 35 is what percent of 71.4

100%/x%=71.4/35
(100/x)*x=(71.4/35)*x       - we multiply both sides of the equation by x
100=2.04*x       - we divide both sides of the equation by (2.04) to get x
100/2.04=x
49.019607843137=x
x=49.019607843137

now we have:
35 is 49.019607843137% of 71.4