0.76 is what percent of 13.01 - 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 13.01 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 13.01, so we can write it down as 100%=13.01.
4. We know, that x% equals 0.76 of the output value, so we can write it down as x%=0.76.
5. Now we have two simple equations:
1) 100%=13.01
2) x%=0.76
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%=13.01/0.76
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 0.76 is what percent of 13.01

100%/x%=13.01/0.76
(100/x)*x=(13.01/0.76)*x       - we multiply both sides of the equation by x
100=17.118421052632*x       - we divide both sides of the equation by (17.118421052632) to get x
100/17.118421052632=x
5.8416602613374=x
x=5.8416602613374

now we have:
0.76 is 5.8416602613374% of 13.01