26 is what percent of 2300 - 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 2300 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 2300, so we can write it down as 100%=2300.
4. We know, that x% equals 26 of the output value, so we can write it down as x%=26.
5. Now we have two simple equations:
1) 100%=2300
2) x%=26
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%=2300/26
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 26 is what percent of 2300

100%/x%=2300/26
(100/x)*x=(2300/26)*x       - we multiply both sides of the equation by x
100=88.461538461538*x       - we divide both sides of the equation by (88.461538461538) to get x
100/88.461538461538=x
1.1304347826087=x
x=1.1304347826087

now we have:
26 is 1.1304347826087% of 2300