1.07 is what percent of 21.5 - 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 21.5 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 21.5, so we can write it down as 100%=21.5.
4. We know, that x% equals 1.07 of the output value, so we can write it down as x%=1.07.
5. Now we have two simple equations:
1) 100%=21.5
2) x%=1.07
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%=21.5/1.07
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1.07 is what percent of 21.5

100%/x%=21.5/1.07
(100/x)*x=(21.5/1.07)*x       - we multiply both sides of the equation by x
100=20.093457943925*x       - we divide both sides of the equation by (20.093457943925) to get x
100/20.093457943925=x
4.9767441860465=x
x=4.9767441860465

now we have:
1.07 is 4.9767441860465% of 21.5