15.77 is what percent of 1061 - 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 1061 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 1061, so we can write it down as 100%=1061.
4. We know, that x% equals 15.77 of the output value, so we can write it down as x%=15.77.
5. Now we have two simple equations:
1) 100%=1061
2) x%=15.77
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%=1061/15.77
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 15.77 is what percent of 1061

100%/x%=1061/15.77
(100/x)*x=(1061/15.77)*x       - we multiply both sides of the equation by x
100=67.279644895371*x       - we divide both sides of the equation by (67.279644895371) to get x
100/67.279644895371=x
1.4863336475024=x
x=1.4863336475024

now we have:
15.77 is 1.4863336475024% of 1061