53.3 is what percent of 34.33 - 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 34.33 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 34.33, so we can write it down as 100%=34.33.
4. We know, that x% equals 53.3 of the output value, so we can write it down as x%=53.3.
5. Now we have two simple equations:
1) 100%=34.33
2) x%=53.3
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%=34.33/53.3
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 53.3 is what percent of 34.33

100%/x%=34.33/53.3
(100/x)*x=(34.33/53.3)*x       - we multiply both sides of the equation by x
100=0.64409005628518*x       - we divide both sides of the equation by (0.64409005628518) to get x
100/0.64409005628518=x
155.25779201864=x
x=155.25779201864

now we have:
53.3 is 155.25779201864% of 34.33