10.42 is what percent of 32.143 - 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 32.143 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 32.143, so we can write it down as 100%=32.143.
4. We know, that x% equals 10.42 of the output value, so we can write it down as x%=10.42.
5. Now we have two simple equations:
1) 100%=32.143
2) x%=10.42
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%=32.143/10.42
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 10.42 is what percent of 32.143

100%/x%=32.143/10.42
(100/x)*x=(32.143/10.42)*x       - we multiply both sides of the equation by x
100=3.0847408829175*x       - we divide both sides of the equation by (3.0847408829175) to get x
100/3.0847408829175=x
32.417633699406=x
x=32.417633699406

now we have:
10.42 is 32.417633699406% of 32.143