638.99 is what percent of 784.7 - 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 784.7 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 784.7, so we can write it down as 100%=784.7.
4. We know, that x% equals 638.99 of the output value, so we can write it down as x%=638.99.
5. Now we have two simple equations:
1) 100%=784.7
2) x%=638.99
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%=784.7/638.99
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 638.99 is what percent of 784.7

100%/x%=784.7/638.99
(100/x)*x=(784.7/638.99)*x       - we multiply both sides of the equation by x
100=1.2280317375859*x       - we divide both sides of the equation by (1.2280317375859) to get x
100/1.2280317375859=x
81.431120173315=x
x=81.431120173315

now we have:
638.99 is 81.431120173315% of 784.7