26.07 is what percent of 30.14 - 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 30.14 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 30.14, so we can write it down as 100%=30.14.
4. We know, that x% equals 26.07 of the output value, so we can write it down as x%=26.07.
5. Now we have two simple equations:
1) 100%=30.14
2) x%=26.07
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%=30.14/26.07
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 26.07 is what percent of 30.14

100%/x%=30.14/26.07
(100/x)*x=(30.14/26.07)*x       - we multiply both sides of the equation by x
100=1.1561181434599*x       - we divide both sides of the equation by (1.1561181434599) to get x
100/1.1561181434599=x
86.496350364963=x
x=86.496350364963

now we have:
26.07 is 86.496350364963% of 30.14