61.48 is what percent of 62 - 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 62 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 62, so we can write it down as 100%=62.
4. We know, that x% equals 61.48 of the output value, so we can write it down as x%=61.48.
5. Now we have two simple equations:
1) 100%=62
2) x%=61.48
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%=62/61.48
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 61.48 is what percent of 62

100%/x%=62/61.48
(100/x)*x=(62/61.48)*x       - we multiply both sides of the equation by x
100=1.0084580351334*x       - we divide both sides of the equation by (1.0084580351334) to get x
100/1.0084580351334=x
99.161290322581=x
x=99.161290322581

now we have:
61.48 is 99.161290322581% of 62