26.16 is what percent of 87.17 - 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 87.17 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 87.17, so we can write it down as 100%=87.17.
4. We know, that x% equals 26.16 of the output value, so we can write it down as x%=26.16.
5. Now we have two simple equations:
1) 100%=87.17
2) x%=26.16
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%=87.17/26.16
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 26.16 is what percent of 87.17

100%/x%=87.17/26.16
(100/x)*x=(87.17/26.16)*x       - we multiply both sides of the equation by x
100=3.3321865443425*x       - we divide both sides of the equation by (3.3321865443425) to get x
100/3.3321865443425=x
30.010324652977=x
x=30.010324652977

now we have:
26.16 is 30.010324652977% of 87.17