10.51 is what percent of 335.75 - 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 335.75 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 335.75, so we can write it down as 100%=335.75.
4. We know, that x% equals 10.51 of the output value, so we can write it down as x%=10.51.
5. Now we have two simple equations:
1) 100%=335.75
2) x%=10.51
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%=335.75/10.51
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 10.51 is what percent of 335.75

100%/x%=335.75/10.51
(100/x)*x=(335.75/10.51)*x       - we multiply both sides of the equation by x
100=31.945765937203*x       - we divide both sides of the equation by (31.945765937203) to get x
100/31.945765937203=x
3.1303052866716=x
x=3.1303052866716

now we have:
10.51 is 3.1303052866716% of 335.75