26.71 is what percent of 77.71 - 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 77.71 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 77.71, so we can write it down as 100%=77.71.
4. We know, that x% equals 26.71 of the output value, so we can write it down as x%=26.71.
5. Now we have two simple equations:
1) 100%=77.71
2) x%=26.71
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%=77.71/26.71
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 26.71 is what percent of 77.71

100%/x%=77.71/26.71
(100/x)*x=(77.71/26.71)*x       - we multiply both sides of the equation by x
100=2.9093972295021*x       - we divide both sides of the equation by (2.9093972295021) to get x
100/2.9093972295021=x
34.371380774675=x
x=34.371380774675

now we have:
26.71 is 34.371380774675% of 77.71