35.3 is what percent of 85.3 - 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 85.3 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 85.3, so we can write it down as 100%=85.3.
4. We know, that x% equals 35.3 of the output value, so we can write it down as x%=35.3.
5. Now we have two simple equations:
1) 100%=85.3
2) x%=35.3
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%=85.3/35.3
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 35.3 is what percent of 85.3

100%/x%=85.3/35.3
(100/x)*x=(85.3/35.3)*x       - we multiply both sides of the equation by x
100=2.4164305949008*x       - we divide both sides of the equation by (2.4164305949008) to get x
100/2.4164305949008=x
41.383352872216=x
x=41.383352872216

now we have:
35.3 is 41.383352872216% of 85.3