21.35 is what percent of 49.65 - 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 49.65 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 49.65, so we can write it down as 100%=49.65.
4. We know, that x% equals 21.35 of the output value, so we can write it down as x%=21.35.
5. Now we have two simple equations:
1) 100%=49.65
2) x%=21.35
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%=49.65/21.35
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 21.35 is what percent of 49.65

100%/x%=49.65/21.35
(100/x)*x=(49.65/21.35)*x       - we multiply both sides of the equation by x
100=2.3255269320843*x       - we divide both sides of the equation by (2.3255269320843) to get x
100/2.3255269320843=x
43.001007049345=x
x=43.001007049345

now we have:
21.35 is 43.001007049345% of 49.65