35.42 is what percent of 50.57 - 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 50.57 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 50.57, so we can write it down as 100%=50.57.
4. We know, that x% equals 35.42 of the output value, so we can write it down as x%=35.42.
5. Now we have two simple equations:
1) 100%=50.57
2) x%=35.42
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%=50.57/35.42
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 35.42 is what percent of 50.57

100%/x%=50.57/35.42
(100/x)*x=(50.57/35.42)*x       - we multiply both sides of the equation by x
100=1.4277244494636*x       - we divide both sides of the equation by (1.4277244494636) to get x
100/1.4277244494636=x
70.041526596797=x
x=70.041526596797

now we have:
35.42 is 70.041526596797% of 50.57