26.07 is what percent of 75.02 - 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 75.02 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 75.02, so we can write it down as 100%=75.02.
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%=75.02
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%=75.02/26.07
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 75.02

100%/x%=75.02/26.07
(100/x)*x=(75.02/26.07)*x       - we multiply both sides of the equation by x
100=2.8776371308017*x       - we divide both sides of the equation by (2.8776371308017) to get x
100/2.8776371308017=x
34.75073313783=x
x=34.75073313783

now we have:
26.07 is 34.75073313783% of 75.02