26549.62 is what percent of 159300 - 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 159300 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 159300, so we can write it down as 100%=159300.
4. We know, that x% equals 26549.62 of the output value, so we can write it down as x%=26549.62.
5. Now we have two simple equations:
1) 100%=159300
2) x%=26549.62
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%=159300/26549.62
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 26549.62 is what percent of 159300

100%/x%=159300/26549.62
(100/x)*x=(159300/26549.62)*x       - we multiply both sides of the equation by x
100=6.0000858769353*x       - we divide both sides of the equation by (6.0000858769353) to get x
100/6.0000858769353=x
16.666428123038=x
x=16.666428123038

now we have:
26549.62 is 16.666428123038% of 159300