10.18 is what percent of 53.57 - 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 53.57 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 53.57, so we can write it down as 100%=53.57.
4. We know, that x% equals 10.18 of the output value, so we can write it down as x%=10.18.
5. Now we have two simple equations:
1) 100%=53.57
2) x%=10.18
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%=53.57/10.18
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 10.18 is what percent of 53.57

100%/x%=53.57/10.18
(100/x)*x=(53.57/10.18)*x       - we multiply both sides of the equation by x
100=5.262278978389*x       - we divide both sides of the equation by (5.262278978389) to get x
100/5.262278978389=x
19.003173417958=x
x=19.003173417958

now we have:
10.18 is 19.003173417958% of 53.57