0.76 is what percent of 137.67 - 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 137.67 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 137.67, so we can write it down as 100%=137.67.
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%=137.67
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%=137.67/0.76
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 137.67

100%/x%=137.67/0.76
(100/x)*x=(137.67/0.76)*x       - we multiply both sides of the equation by x
100=181.14473684211*x       - we divide both sides of the equation by (181.14473684211) to get x
100/181.14473684211=x
0.55204474467931=x
x=0.55204474467931

now we have:
0.76 is 0.55204474467931% of 137.67