52.06 is what percent of 35 - 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 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, so we can write it down as 100%=35.
4. We know, that x% equals 52.06 of the output value, so we can write it down as x%=52.06.
5. Now we have two simple equations:
1) 100%=35
2) x%=52.06
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%=35/52.06
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 52.06 is what percent of 35

100%/x%=35/52.06
(100/x)*x=(35/52.06)*x       - we multiply both sides of the equation by x
100=0.67230119093354*x       - we divide both sides of the equation by (0.67230119093354) to get x
100/0.67230119093354=x
148.74285714286=x
x=148.74285714286

now we have:
52.06 is 148.74285714286% of 35