10.35 is what percent of 46.98 - 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 46.98 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 46.98, so we can write it down as 100%=46.98.
4. We know, that x% equals 10.35 of the output value, so we can write it down as x%=10.35.
5. Now we have two simple equations:
1) 100%=46.98
2) x%=10.35
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%=46.98/10.35
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 10.35 is what percent of 46.98

100%/x%=46.98/10.35
(100/x)*x=(46.98/10.35)*x       - we multiply both sides of the equation by x
100=4.5391304347826*x       - we divide both sides of the equation by (4.5391304347826) to get x
100/4.5391304347826=x
22.030651340996=x
x=22.030651340996

now we have:
10.35 is 22.030651340996% of 46.98