What is 1.21 percent of 49.42 - 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 49.42 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 49.42 is 100%, so we can write it down as 49.42=100%.
4. We know, that x is 1.21% of the output value, so we can write it down as x=1.21%.
5. Now we have two simple equations:
1) 49.42=100%
2) x=1.21%
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:
49.42/x=100%/1.21%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 1.21% of 49.42

49.42/x=100/1.21
(49.42/x)*x=(100/1.21)*x       - we multiply both sides of the equation by x
49.42=82.644628099174*x       - we divide both sides of the equation by (82.644628099174) to get x
49.42/82.644628099174=x
0.597982=x
x=0.597982

now we have:
1.21% of 49.42=0.597982