35.2 is what percent of 75.8 - 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 75.8 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 75.8, so we can write it down as 100%=75.8.
4. We know, that x% equals 35.2 of the output value, so we can write it down as x%=35.2.
5. Now we have two simple equations:
1) 100%=75.8
2) x%=35.2
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%=75.8/35.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 35.2 is what percent of 75.8

100%/x%=75.8/35.2
(100/x)*x=(75.8/35.2)*x       - we multiply both sides of the equation by x
100=2.1534090909091*x       - we divide both sides of the equation by (2.1534090909091) to get x
100/2.1534090909091=x
46.437994722955=x
x=46.437994722955

now we have:
35.2 is 46.437994722955% of 75.8